Nonlinear Vibrations and Stability of Shells and Plates
暂无分享,去创建一个
[1] Hans Krumhaar,et al. INVESTIGATION OF THE ACCURACY OF LINEAR PISTON THEORY WHEN APPLIED TO CYLINDRICAL SHELLS , 1963 .
[2] Anthony N. Palazotto,et al. On the finite element analysis of non-linear vibration for cylindrical shells with high-order shear deformation theory , 1991 .
[3] P. M. Naghdi,et al. On the nonlinear theory of elastic shells under the Kirchhoff hypothesis , 1963 .
[4] Yukinori Kobayashi,et al. Two-mode response of simply supported, rectangular laminated plates , 1998 .
[5] Y. C. Fung,et al. Supersonic flutter of circular cylindrical shells subjected to internal pressure and axial compression. , 1966 .
[6] F. Busse. An exploration of chaos: J. Argyris, G. Faust and M. Haase, Elsevier, Amsterdam, 1994, 722 pp., ISBN 0-444-82002-7 (hardbound), 0-444-82003-5 (paperback) , 1994 .
[7] Arvind Raman,et al. Effects of imperfection on the non-linear oscillations of circular plates spinning near critical speed , 2001 .
[8] Paulo B. Gonçalves,et al. Non-linear vibration analysis of fluid-filled cylindrical shells , 1988 .
[9] C. Mei,et al. A FINITE ELEMENT TIME DOMAIN MODAL FORMULATION FOR LARGE AMPLITUDE FREE VIBRATIONS OF BEAMS AND PLATES , 1996 .
[10] John C. Yao,et al. Nonlinear Elastic Buckling and Parametric Excitation of a Cylinder Under Axial Loads , 1965 .
[11] Marco Amabili,et al. EIGENVALUE PROBLEMS FOR VIBRATING STRUCTURES COUPLED WITH QUIESCENT FLUIDS WITH FREE SURFACE , 2000 .
[12] Bernard Budiansky,et al. Notes on nonlinear shell theory. , 1968 .
[13] Alexander F. Vakakis,et al. An Energy-Based Formulation for Computing Nonlinear Normal Modes in Undamped Continuous Systems , 1994 .
[14] M. P. Païdoussis,et al. NONLINEAR VIBRATIONS OF SIMPLY SUPPORTED, CIRCULAR CYLINDRICAL SHELLS, COUPLED TO QUIESCENT FLUID , 1998 .
[15] Marco Amabili,et al. EXPERIMENTAL STUDY ON LARGE-AMPLITUDE VIBRATIONS OF WATER-FILLED CIRCULAR CYLINDRICAL SHELLS , 2002 .
[16] D. Chapelle,et al. The Finite Element Analysis of Shells - Fundamentals , 2003 .
[17] Francis C. Moon,et al. Chaotic and fractal dynamics , 1992 .
[18] C. D. Mote,et al. Aerodynamically Excited Vibration And Flutter Of A Thin Disk Rotating At Supercritical Speed , 1993 .
[19] Christophe Pierre,et al. Nonlinear normal modes for vibratory systems under harmonic excitation , 2005 .
[20] C. Chia. Nonlinear vibration and postbuckling of unsymmetrically laminated imperfect shallow cylindrical panels with mixed boundary conditions resting on elastic foundation , 1987 .
[21] D. S. Dugdale. Non-linear vibration of a centrally clamped rotating disc , 1979 .
[22] E. Grinevich,et al. An experimental study of the nonlinear dynamics of cylindrical shells with clamped ends subjected to axial flow , 2005 .
[23] J. Carr. Applications of Centre Manifold Theory , 1981 .
[24] Maurice Petyt,et al. Geometrical non-linear, steady state, forced, periodic vibration of plates, Part I: Model and convergence studies , 1999 .
[25] T. K. Varadan,et al. LARGE AMPLITUDE VIBRATIONS OF CIRCULAR CYLINDRICAL SHELLS , 1996 .
[26] C. Y. Chia,et al. Non-linear vibration and postbuckling of generally laminated circular cylindrical thick shells with non-uniform boundary conditions , 1993 .
[27] Nadine Aubry,et al. The dynamics of coherent structures in the wall region of a turbulent boundary layer , 1988, Journal of Fluid Mechanics.
[28] P. C. Dumir. Non-linear vibration and postbuckling of isotrophic thin circular plates on elastic foundations , 1986 .
[29] M. P. Païdoussis,et al. NON-LINEAR DYNAMICS AND STABILITY OF CIRCULAR CYLINDRICAL SHELLS CONTAINING FLOWING FLUID. PART I: STABILITY , 1999 .
[30] Earl H. Dowell,et al. Modal equations for the nonlinear flexural vibrations of a cylindrical shell , 1968 .
[31] M. P. Païdoussis,et al. Dynamics and Stability of Coaxial Cylindrical Shells Conveying Viscous Fluid , 1985 .
[32] Anthony N. Palazotto,et al. Nonlinear Dynamic Finite Element Analysis of Composite Cylindrical Shells Considering Large Rotations , 1999 .
[33] Hu-Nan Chu,et al. Influence of Large Amplitudes on Flexural Vibrations of a Thin Circular Cylindrical Shell , 1961 .
[34] J. N. Reddy,et al. Exact Solutions of Moderately Thick Laminated Shells , 1984 .
[35] G. Kirchhoff,et al. Über das Gleichgewicht und die Bewegung einer elastischen Scheibe. , 1850 .
[36] Maher N. Bismarck-Nasr,et al. Finite Element Analysis of Aeroelasticity of Plates and Shells , 1992 .
[37] S. A. Tobias,et al. The Influence of Dynamical Imperfection on the Vibration of Rotating Disks , 1957 .
[38] R. Stearman,et al. Influence of a supersonic flowfield on the elastic stability of cylindrical shells , 1970 .
[39] J. G. Simmonds,et al. The Nonlinear Theory of Elastic Shells , 1998 .
[40] K. Chandrashekhara,et al. Geometrically non-linear transient analysis of laminated, doubly curved shells , 1985 .
[41] A. Noor,et al. Reduced basis technique for nonlinear vibration analysis of composite panels , 1993 .
[42] V. V. Bolotin,et al. Nonconservative problems of the theory of elastic stability , 1963 .
[43] Bogdan I. Epureanu,et al. Coherent structures and their influence on the dynamics of aeroelastic panels , 2004 .
[44] Roger Ohayon,et al. Interactions fluides-structures , 1992 .
[45] P. I. Galaka,et al. Parametric instability of glass-plastic cylindrical shells , 1977 .
[46] Vadim Shapiro,et al. On completeness of RFM solution structures , 2000 .
[47] Charles M. Krousgrill,et al. Non-Linear vibrations and chaos in harmonically excited rectangular plates with one-to-one internal resonance , 1993 .
[48] A. Chaigne,et al. Asymmetric non-linear forced vibrations of free-edge circular plates. Part II: Experiments , 2003 .
[49] Paulo B. Gonçalves,et al. Nonlinear Oscillations and Stability of Parametrically Excited Cylindrical Shells , 2002 .
[50] K. Soldatos. Nonlinear Analysis of Transverse Shear Deformable Laminated Composite Cylindrical Shells—Part I: Derivation of Governing Equations , 1992 .
[51] Joseph C. Slater,et al. A numerical method for determining nonlinear normal modes , 1996 .
[52] H. Poincaré,et al. Les méthodes nouvelles de la mécanique céleste , 1899 .
[53] O. Thomas,et al. Non-linear behaviour of free-edge shallow spherical shells: Effect of the geometry , 2006 .
[54] Youhe Zhou,et al. Active control of nonlinear piezoelectric circular shallow spherical shells , 2000 .
[55] V. V. Novozhilov,et al. Foundations of the nonlinear theory of elasticity , 1953 .
[56] Arthur W. Leissa,et al. Vibration of Plates , 2021, Solid Acoustic Waves and Vibration.
[57] Cyril Touzé,et al. Non-linear vibrations of free-edge thin spherical shells: modal interaction rules and 1:1:2 internal resonance , 2005 .
[58] Maurice Petyt,et al. GEOMETRICAL NON-LINEAR, STEADY STATE, FORCED, PERIODIC VIBRATION OF PLATES, PART II: STABILITY STUDY AND ANALYSIS OF MULTI-MODAL RESPONSE , 1999 .
[59] A. Tondl,et al. Non-linear Vibrations , 1986 .
[60] Gaëtan Kerschen,et al. On the exploitation of chaos to build reduced-order models , 2003 .
[61] T. I. Sheiko,et al. R-Functions in Boundary Value Problems in Mechanics , 1995 .
[62] P. Wriggers,et al. An energy–momentum integration scheme and enhanced strain finite elements for the non-linear dynamics of shells , 2002 .
[63] U. Olsson. Supersonic flutter of heated circular cylindrical shells with temperature-dependent material properties , 1978 .
[64] Ali H. Nayfeh,et al. A unified nonlinear formulation for plate and shell theories , 1994 .
[65] Liviu Librescu,et al. Effects of geometric imperfections on vibration of compressed shear deformable laminated composite curved panels , 1993 .
[66] Andrew Y. T. Leung,et al. A symplectic Galerkin method for non-linear vibration of beams and plates , 1995 .
[67] A. Vakakis,et al. PROPER ORTHOGONAL DECOMPOSITION (POD) OF A CLASS OF VIBROIMPACT OSCILLATIONS , 2001 .
[68] Peter Wriggers,et al. Nonlinear Dynamics of Shells: Theory, Finite Element Formulation, and Integration Schemes , 1997 .
[69] T. K. Varadan,et al. Nonlinear free flexural vibration of thin circular cylindrical shells , 1989 .
[70] Atanas A. Popov,et al. LOW DIMENSIONAL MODELS OF SHELL VIBRATIONS. PARAMETRICALLY EXCITED VIBRATIONS OF CYLINDER SHELLS , 1998 .
[71] G. C. Sinharay,et al. Large Amplitude Free Vibrations of Shells of Variable Thickness—A New Approach , 1986 .
[72] T. Wah. Vibration of Circular Plates at Large Amplitudes , 1963 .
[73] J. Nowinski. NONLINEAR TRANSVERSE VIBRATIONS OF ORTHOTROPIC CYLINDRICAL SHELLS , 1963 .
[74] L. L. Carter,et al. SOME ASPECTS OF CYLINDRICAL SHELL PANEL FLUTTER. , 1967 .
[75] David A. Evensen,et al. Some observations on the nonlinear vibration of thin cylindrical shells , 1963 .
[76] Marco Amabili,et al. Reduced-order models for nonlinear vibrations of fluid-filled circular cylindrical shells: Comparison of POD and asymptotic nonlinear normal modes methods , 2007 .
[77] L. Kantorovich,et al. Approximate methods of higher analysis , 1960 .
[78] Takao Yamaguchi,et al. Chaotic Vibrations of a Cylindrical Shell-Panel with an In-Plane Elastic-Support at Boundary , 1997 .
[79] Marco Amabili,et al. A TECHNIQUE FOR THE SYSTEMATIC CHOICE OF ADMISSIBLE FUNCTIONS IN THE RAYLEIGH–RITZ METHOD , 1999 .
[80] James H. Starnes,et al. Nonlinear Analysis of the Space Shuttle Super-Lightweight External Fuel Tank , 1996 .
[81] J. H. Ginsberg,et al. Large Amplitude Forced Vibrations of Simply Supported Thin Cylindrical Shells , 1973 .
[82] S. M. Dickinson,et al. On the use of artificial springs in the study of the free vibrations of systems comprised of straight and curved beams , 1992 .
[83] Leslie Robert Koval. Effect of longitudinal resonance the parametric stability of an axially excited cylindrical shell , 1974 .
[84] J. Hutchinson. Axial buckling of pressurized imperfect cylindrical shells , 1965 .
[85] G. C. Kung,et al. Nonlinear Flexural Vibrations of a Clamped Circular Plate , 1972 .
[86] Christophe Pierre,et al. Non-linear normal modes and invariant manifolds , 1991 .
[87] G. C. Sinharay,et al. Large amplitude free vibrations of shallow spherical shell and cylindrical shell — A new approach , 1985 .
[88] I. I. Vorovich,et al. Nonlinear Theory of Shallow Shells , 1999 .
[89] Arvind Raman,et al. Experimental studies on the non-linear oscillations of imperfect circular disks spinning near critical speed , 2001 .
[90] S. A. Tobias. Free Undamped Non-Linear Vibrations of Imperfect Circular Disks , 1957 .
[91] Mervyn W. Olson,et al. Some Experimeiital Observations on the Nonlinear Vibration of Cylindrical Shells , 1965 .
[92] D. Decker,et al. Topics in bifurcation theory , 1978 .
[93] E. Dowell. Flutter of infinitely long plates and shells. II - Cylindrical shell. , 1966 .
[94] E. Ventsel,et al. The R-function method for the free vibration analysis of thin orthotropic plates of arbitrary shape , 2003 .
[95] V. D. Kubenko,et al. Nonlinear problems of the vibration of thin shells (review) , 1998 .
[96] Earl H. Dowell,et al. Nonlinear flutter of curved plates. , 1969 .
[97] Victor Birman,et al. Small Vibrations of an Imperfect Panel in the Vicinity of a Non-Linear Static State , 1987 .
[98] Yukinori Kobayashi,et al. Non-linear vibration characteristics of clamped laminated shallow shells , 2000 .
[99] P. Holmes,et al. Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields , 1983, Applied Mathematical Sciences.
[100] Marco Amabili,et al. Nonlinear Vibrations of Circular Cylindrical Shells with Different Boundary Conditions , 2003 .
[101] Marco Amabili,et al. Theory and experiments for large-amplitude vibrations of rectangular plates with geometric imperfections , 2006 .
[102] Michael P. Païdoussis,et al. A cantilever conveying fluid: coherent modes versus beam modes , 2004 .
[103] Jin-Guang Teng,et al. Buckling of Thin Shells: Recent Advances and Trends , 1996 .
[104] Effect of Boundary Conditions on Nonlinear Vibrations of Circular Cylindrical Panels , 2007 .
[105] D. Hui. Effects of Geometric Imperfections on Large-Amplitude Vibrations of Rectangular Plates With Hysteresis Damping , 1984 .
[106] Anthony N. Palazotto,et al. Large displacement and rotational formulation for laminated shells including parabolic transverse shear , 1990 .
[107] Michael P. Païdoussis,et al. Flutter of thin cylindrical shells conveying fluid , 1972 .
[108] J. L. Nowinski,et al. Nonlinear Transverse Vibrations of a Spinning Disk , 1964 .
[109] Claude-Henri Lamarque,et al. Analysis of non-linear dynamical systems by the normal form theory , 1991 .
[110] M. Amabili,et al. Nonlinear vibrations of shallow shells with complex boundary: R-functions method and experiments , 2007 .
[111] A. Vakakis,et al. Nonlinear vibrations and multiple resonances of fluid-filled, circular shells, part 1: Equations of motion and numerical results , 2000 .
[112] Theodore von Karman,et al. The buckling of thin cylindrical shells under axial compression , 2003 .
[113] James H. Starnes,et al. Effects of initial geometric imperfections on the non-linear response of the Space Shuttle superlightweight liquid-oxygen tank , 2002 .
[114] C. Y. Chia,et al. Multi-mode non-linear vibration and postbuckling of anti-symmetric imperfect angle-ply cylindrical thick panels , 1989 .
[115] C. Y. Chia,et al. Nonlinear analysis of doubly curved symmetrically laminated shallow shells with rectangular planform , 1988 .
[116] Nonlinear Stability of Circular Cylindrical Shells in Annular and Unbounded Axial Flow , 2001 .
[117] Stephen Wolfram,et al. The Mathematica Book , 1996 .
[118] S. A. Tobias,et al. Forced Undamped Non-Linear Vibrations of Imperfect Circular Discs , 1963 .
[119] A. Nayfeh,et al. Applied nonlinear dynamics : analytical, computational, and experimental methods , 1995 .
[120] Eelco Jansen. Non-stationary flexural vibration behaviour of a cylindrical shell , 2002 .
[121] Marco Amabili,et al. Nonlinear normal modes for damped geometrically nonlinear systems: Application to reduced-order modelling of harmonically forced structures , 2006 .
[122] M. P. Païdoussis,et al. NON-LINEAR DYNAMICS AND STABILITY OF CIRCULAR CYLINDRICAL SHELLS CONTAINING FLOWING FLUID, PART II: LARGE-AMPLITUDE VIBRATIONS WITHOUT FLOW , 1999 .
[123] Christophe Pierre,et al. Normal Modes for Non-Linear Vibratory Systems , 1993 .
[124] C. Y. Chia,et al. Non-linear vibration and postbuckling of unsymmetric cross-ply circular cylindrical shells , 1988 .
[125] Maurice Petyt,et al. Non-linear free vibration of isotropic plates with internal resonance , 2000 .
[126] D. A. Evensen,et al. Circumferentially traveling wave flutter of a circular cylindrical shell. , 1968 .
[127] Augustin-Louis Cauchy,et al. Oeuvres complétes: Sur l'équilibre et le mouvement d'une plaque solide , 2009 .
[128] Christophe Pierre,et al. The construction of non-linear normal modes for systems with internal resonance , 2005 .
[129] Lawrence Sirovich,et al. The use of the Karhunen-Loegve procedure for the calculation of linear Eigenfunctions , 1991 .
[130] Y. Fung. Foundations of solid mechanics , 1965 .
[131] N. Yamaki,et al. Dynamic stability of circular cylindrical shells under periodic compressive forces , 1978 .
[132] A. H. Nayfeh,et al. Resonant non-linear normal modes. Part I: analytical treatment for structural one-dimensional systems , 2003 .
[133] M. Mukhopadhyay,et al. Large‐amplitude finite element flexural vibration of plates/stiffened plates , 1993 .
[134] C. Pierre,et al. A NEW GALERKIN-BASED APPROACH FOR ACCURATE NON-LINEAR NORMAL MODES THROUGH INVARIANT MANIFOLDS , 2002 .
[135] M. P. Païdoussis,et al. A compact limit-cycle oscillation model of a cantilever conveying fluid , 2003 .
[136] R. Benamar,et al. Improvement of the semi-analytical method, based on Hamilton's principle and spectral analysis, for determination of the geometrically non-linear response of thin straight structures. Part III: steady state periodic forced response of rectangular plates , 2003 .
[137] Isaac M Daniel,et al. Engineering Mechanics of Composite Materials , 1994 .
[138] P. S. Koval’chuk,et al. Effect of initial camber on natural nonlinear vibrations of cylindrical shells , 1982 .
[139] W. Soedel. Vibrations of shells and plates , 1981 .
[140] D. S. Weaver,et al. On the Dynamic Stability of Fluid-Conveying Pipes , 1973 .
[141] Marco Amabili,et al. Theory and experiments for large-amplitude vibrations of empty and fluid-filled circular cylindrical shells with imperfections , 2003 .
[142] Marco Amabili,et al. Nonlinear stability of cylindrical shells subjected to axial flow : Theory and experiments , 2008 .
[143] M. Petyt,et al. Geometrically nonlinear vibration analysis of thin, rectangular plates using the hierarchical finite element method—II: 1st mode of laminated plates and higher modes of isotropic and laminated plates , 1997 .
[144] Paulo B. Gonçalves,et al. CHAOTIC BEHAVIOR RESULTING IN TRANSIENT AND STEADY STATE INSTABILITIES OF PRESSURE-LOADED SHALLOW SPHERICAL SHELLS , 2003 .
[145] Marco Amabili. Theory and experiments for large-amplitude vibrations of circular cylindrical panels with geometric imperfections , 2006 .
[146] M. Amabili,et al. VIBRATIONS OF CIRCULAR CYLINDRICAL SHELLS WITH NONUNIFORM CONSTRAINTS, ELASTIC BED AND ADDED MASS. PART III: STEADY VISCOUS EFFECTS ON SHELLS CONVEYING FLUID , 2002 .
[147] G. J. Efstathiades. A new approach to the large-deflection vibrations of imperfect circular disks using Galerkin's procedure , 1971 .
[148] P. S. Koval’chuk,et al. Non-linear interaction of bending deformations of free-oscillating cylindrical shells , 2003 .
[149] L. Sirovich. Turbulence and the dynamics of coherent structures. I. Coherent structures , 1987 .
[150] C. D. Babcock,et al. Nonlinear Vibration of Cylindrical Shells , 1975 .
[151] Marco Amabili,et al. Parametric instability of a circular cylindrical shell with geometric imperfections , 2004 .
[152] Robert Bouc,et al. A new formulation for the existence and calculation of nonlinear normal modes , 2005 .
[153] Marco Amabili,et al. Nonlinear vibrations of circular cylindrical panels , 2005 .
[154] Alexander F. Vakakis,et al. Interaction Between Slow and Fast Oscillations in an Infinite Degree-of-Freedom Linear System Coupled to a Nonlinear Subsystem: Theory and Experiment , 1999 .
[155] C. D. Babcock,et al. Dynamic Stability of Cylindrical Shells Under Step Loading , 1975 .
[156] D. A. Evensen,et al. Nonlinear flexural vibrations of thin-walled circular cylinders , 1967 .
[157] Marco Amabili,et al. A comparison of shell theories for large-amplitude vibrations of circular cylindrical shells: Lagrangian approach , 2003 .
[158] Eduard Ventsel,et al. Application of the R-function method to nonlinear vibrations of thin plates of arbitrary shape , 2005 .
[159] C. R. Calladine,et al. Understanding imperfection-sensitivity in the buckling of thin-walled shells , 1995 .
[160] M. P. Païdoussis,et al. Reduced-order models for nonlinear vibrations of cylindrical shells via the proper orthogonal decomposition method , 2003 .
[161] M. P. Païdoussis,et al. Dynamics and stability of coaxial cylindrical shells containing flowing fluid , 1984 .
[162] Cyril Touzé,et al. ASYMMETRIC NON-LINEAR FORCED VIBRATIONS OF FREE-EDGE CIRCULAR PLATES. PART 1: THEORY , 2002 .
[163] M. Petyt,et al. Geometrically nonlinear vibration analysis of thin, rectangular plates using the hierarchical finite element method—I: The fundamental mode of isotropic plates , 1997 .
[164] J. Reddy. Mechanics of laminated composite plates and shells : theory and analysis , 1996 .
[165] E. Dowell. Panel flutter - A review of the aeroelastic stability of plates and shells , 1970 .
[166] R. M. Rosenberg,et al. On Nonlinear Vibrations of Systems with Many Degrees of Freedom , 1966 .
[167] M. Chiba,et al. Non-linear vibrations of a clamped circular plate with initial deflection and initial edge displacement, part I: Theory , 1981 .
[168] C. D. Mote,et al. Non-linear oscillations of circular plates near a critical speed resonance , 1999 .
[169] Marco Amabili,et al. Nonlinear vibrations of rectangular plates with different boundary conditions: theory and experiments , 2004 .
[170] Marco Amabili,et al. Nonlinear Supersonic Flutter of Circular Cylindrical Shells , 2001 .
[171] Arthur W. Leissa,et al. Curvature effects on shallow shell vibrations , 1971 .
[172] E. Ventsel,et al. Vibrations of Shells , 2001 .
[173] M. P. Païdoussis,et al. NON-LINEAR DYNAMICS AND STABILITY OF CIRCULAR CYLINDRICAL SHELLS CONTAINING FLOWING FLUID. PART III: TRUNCATION EFFECT WITHOUT FLOW AND EXPERIMENTS , 2000 .
[174] Atanas A. Popov,et al. Parametric resonance in cylindrical shells: a case study in the nonlinear vibration of structural shells , 2003 .
[175] Liviu Librescu,et al. Elastostatics and Kinetics of Anisotropic and Heterogeneous Shell-Type Structures , 1975 .
[176] A. Raman,et al. Nonlinear aeroelastic flutter phenomena of a flexible disk rotating in an unbounded fluid , 2005 .
[177] C. Chia. Nonlinear analysis of plates , 1980 .
[178] R. Raouf. A qualitative analysis of the nonlinear dynamic characteristics of curved orthotropic panels , 1993 .
[179] J. Ramachandran. Large‐amplitude vibrations of elastically restrained circular plates , 1974 .
[180] Alexander F. Vakakis,et al. Nonlinear Vibrations and Multiple Resonances of Fluid-Filled, Circular Shells, Part 2: Perturbation Analysis , 2000 .
[181] Earl H. Dowell,et al. Nonlinear flutter of curved plates. II , 1970 .
[182] J. N. Reddy,et al. A higher-order shear deformation theory of laminated elastic shells , 1985 .
[183] D. A. Evensen,et al. Nonlinear flutter of a circular cylindrical shell in supersonic flow , 1967 .
[184] L. Gunawan. Experimental study of nonlinear vibrations of thin-walled cylindrical shells , 1998 .
[185] Marco Amabili,et al. Chaotic vibrations of circular cylindrical shells: Galerkin versus reduced-order models via the proper orthogonal decomposition method , 2006 .
[186] D. Hui. Accurate Backbone Curves for a Modified-Duffing Equation for Vibrations of Imperfect Structures With Viscous Damping , 1990 .
[187] V. Kubenko,et al. Vibration effects of the dynamic interaction between a gas-liquid medium and elastic shells , 2000 .
[188] Dynamic Stability of Cylindrical Shells under Static and Periodic Axial and Radial Loads , 1963 .
[189] Marco Amabili,et al. Multimode Approach to Nonlinear Supersonic Flutter of Imperfect Circular Cylindrical Shells , 2002 .
[190] M. Chiba. Experimental Studies on a Nonlinear Hydroelastic Vibration of a Clamped Cylindrical Tank Partially Filled With Liquid , 1993 .
[191] Marco Amabili,et al. Dynamic instability and chaos of empty and fluid-filled circular cylindrical shells under periodic axial loads , 2006 .
[192] M. Sathyamoorthy,et al. Nonlinear Vibration Analysis of Plates: A Review and Survey of Current Developments , 1987 .
[193] R. Ibrahim. Liquid Sloshing Dynamics: Theory and Applications , 2005 .
[194] G. Kerschen,et al. The Method of Proper Orthogonal Decomposition for Dynamical Characterization and Order Reduction of Mechanical Systems: An Overview , 2005 .
[195] R. Stearman,et al. Recent Contributions to Experiments on Cylindrical Shell Panel Flutter , 1974 .
[196] Y. C. Fung,et al. Comparing theory and experiment for the supersonic flutter of circular cylindrical shells. , 1967 .
[197] T. K. Varadan,et al. Field-Consistent Element Applied to Flutter Analysis of Circular Cylindrical Shells , 1994 .
[198] Ioannis T. Georgiou,et al. Advanced Proper Orthogonal Decomposition Tools: Using Reduced Order Models to Identify Normal Modes of Vibration and Slow Invariant Manifolds in the Dynamics of Planar Nonlinear Rods , 2005 .
[199] Marco Amabili,et al. NON-LINEAR DYNAMICS AND STABILITY OF CIRCULAR CYLINDRICAL SHELLS CONVEYING FLOWING FLUID , 2002 .
[200] P. Coullet,et al. A simple global characterization for normal forms of singular vector fields , 1987 .
[201] A. H. Nayfeh,et al. Non-linear resonances in the forced responses of plates, part 1: Symmetric responses of circular plates , 1975 .
[202] M. Païdoussis,et al. Review of studies on geometrically nonlinear vibrations and dynamics of circular cylindrical shells and panels, with and without fluid-structure interaction , 2003 .
[203] Y. Mikhlin. Matching of local expansions in the theory of non-linear vibrations , 1995 .
[204] Lakshman Watawala,et al. Influence of initial geometric imperfections on vibrations of thin circular cylindrical shells , 1983 .
[205] E. Dowell,et al. Aeroelasticity of Plates and Shells , 1974 .
[206] G. Simitses,et al. Elastic stability of circular cylindrical shells , 1984 .
[207] Chuh Mei,et al. Review of Nonlinear Panel Flutter at Supersonic and Hypersonic Speeds , 1999 .
[208] Yuan-Cheng Fung,et al. Thin-Shell Structures: Theory, Experiment, and Design. , 1974 .
[209] J. L. Sanders,et al. NONLINEAR THEORIES FOR THIN SHELLS , 1963 .
[210] L. Meirovitch. Analytical Methods in Vibrations , 1967 .
[211] V. V. Novozhilov,et al. Thin shell theory , 1964 .
[212] Marco Amabili,et al. VIBRATIONS OF CIRCULAR CYLINDRICAL SHELLS WITH NONUNIFORM CONSTRAINTS, ELASTIC BED AND ADDED MASS; PART II: SHELLS CONTAINING OR IMMERSED IN AXIAL FLOW , 2002 .
[213] C. Chia,et al. Geometrically Nonlinear Behavior of Composite Plates: A Review , 1988 .
[214] J. Reddy. Analysis of functionally graded plates , 2000 .
[215] E. Jansen. Dynamic Stability Problems of Anisotropic Cylindrical Shells via a Simplified Analysis , 2005 .
[216] Liviu Librescu,et al. Refined geometrically nonlinear theories of anisotropic laminated shells , 1987 .
[217] A. Popov,et al. CHAOTIC ENERGY EXCHANGE THROUGH AUTO-PARAMETRIC RESONANCE IN CYLINDRICAL SHELLS , 2001 .
[218] A. Bhattacharya. Nonlinear Flexural Vibrations of Thin Shallow Translational Shells , 1976 .
[219] James H. Starnes,et al. Non-Classical Problems in the Theory of Elastic Stability , 2005 .
[220] L. V. Kurpa,et al. Solution of vibration problems for shallow shells of arbitrary form by the R-function method , 2005 .
[221] T. K. Varadan,et al. Nonlinear flexural vibrations of laminated orthotropic plates , 1991 .
[222] Thomas F. Fairgrieve,et al. AUTO 2000 : CONTINUATION AND BIFURCATION SOFTWARE FOR ORDINARY DIFFERENTIAL EQUATIONS (with HomCont) , 1997 .
[223] Alexander F. Vakakis,et al. Subharmonic travelling waves in a geometrically non-linear circular plate , 1994 .
[224] Marco Amabili,et al. Non-linear vibrations of doubly curved shallow shells , 2005 .
[225] Chia Chuen-Yuan,et al. Non-linear free vibration and postbuckling of symmetrically laminated orthotropic imperfect shallow cylindrical panels with two adjacent edges simply supported and the other edges clamped , 1987 .
[226] P. S. Koval’chuk,et al. Resonance phenomena in nonlinear vibrations of cylindrical shells with initial imperfections , 1979 .
[227] R. M. Evan-Iwanowski,et al. Parametric Instability of Circular Cylindrical Shells , 1967 .
[228] Marco Amabili,et al. Effect of the geometry on the non-linear vibration of circular cylindrical shells , 2002 .
[229] T. K. Varadan,et al. Nonlinear free flexural vibrations of laminated circular cylindrical shells , 1995 .
[230] N. Yamaki,et al. Non-linear vibrations of a clamped circular plate with initial deflection and initial edge displacement, part II: Experiment , 1981 .
[231] Yukinori Kobayashi,et al. Large amplitude free vibration of thick shallow shells supported by shear diaphragms , 1995 .
[232] Eelco Jansen,et al. A comparison of analytical–numerical models for nonlinear vibrations of cylindrical shells , 2004 .
[233] R. Benamar,et al. GEOMETRICALLY NON-LINEAR FREE VIBRATION OF FULLY CLAMPED SYMMETRICALLY LAMINATED RECTANGULAR COMPOSITE PLATES , 2002 .
[234] B. E. Cummings,et al. Large-amplitude vibration and response of curved panels , 1964 .
[235] Cyril Touzé,et al. Hardening/softening behaviour in non-linear oscillations of structural systems using non-linear normal modes , 2004 .
[236] Marco Amabili,et al. Stability and vibration of empty and fluid-filled circular cylindrical shells under static and periodic axial loads , 2003 .
[237] J. N. Reddy,et al. A GENERAL NON-LINEAR THIRD-ORDER THEORY OF PLATES WITH MODERATE THICKNESS , 1990 .