Exact solutions for free vibrations of axially inhomogeneous Timoshenko beams with variable cross section
暂无分享,去创建一个
[1] M. Boiangiu,et al. A transfer matrix method for free vibration analysis of Euler-Bernoulli beams with variable cross section , 2016 .
[2] Isaac Elishakoff,et al. Celebrating the Centenary of Timoshenko's Study of Effects of Shear Deformation and Rotary Inertia , 2015 .
[3] R. Ganguli,et al. Non-uniform beams and stiff strings isospectral to axially loaded uniform beams and piano strings , 2015 .
[4] T. S. Jang,et al. A general method for analyzing moderately large deflections of a non-uniform beam: an infinite Bernoulli–Euler–von Kármán beam on a nonlinear elastic foundation , 2014 .
[5] Q. Luo,et al. Free vibration of axially functionally graded Timoshenko beams with non-uniform cross-section , 2013 .
[6] Reza Attarnejad,et al. Free vibration and stability analysis of axially functionally graded tapered Timoshenko beams with classical and non-classical boundary conditions , 2011 .
[7] Yong Huang,et al. A new approach for free vibration of axially functionally graded beams with non-uniform cross-section , 2010 .
[8] D. Caruntu. Dynamic modal characteristics of transverse vibrations of cantilevers of parabolic thickness , 2009 .
[9] Dumitru I. Caruntu,et al. Classical Jacobi polynomials, closed-form solutions for transverse vibrations , 2007 .
[10] Isaac E. Elishakoff,et al. Eigenvalues of Inhomogeneous Structures - Unusual Closed-Form Solutions , 2004 .
[11] Isaac Elishakoff,et al. Apparently first closed-form solution for vibrating: inhomogeneous beams , 2001 .
[12] H. Benaroya,et al. DYNAMICS OF TRANSVERSELY VIBRATING BEAMS USING FOUR ENGINEERING THEORIES , 1999 .
[13] B. Tabarrok,et al. Vibration analysis of timoshenko beams with non-homogeneity and varying cross-section , 1995 .
[14] Serge Abrate,et al. Vibration of non-uniform rods and beams , 1995 .
[15] Sen-Yung Lee,et al. Exact Vibration Solutions for Nonuniform Timoshenko Beams with Attachments , 1992 .
[16] D. Storti,et al. BENDING VIBRATIONS OF A CLASS OF ROTATING BEAMS WITH HYPERGEOMETRIC SOLUTIONS. , 1987 .
[17] Charles E. Smith,et al. Vibration Modes of Centrifugally Stiffened Beams , 1982 .
[18] R. P. Goel. Transverse vibrations of tapered beams , 1976 .
[19] T. Kaneko. On Timoshenko's correction for shear in vibrating beams , 1975 .
[20] H. H. Mabie,et al. Transverse vibrations of double‐tapered cantilever beams with end support and with end mass , 1974 .
[21] Han-Chung Wang,et al. Generalized Hypergeometric Function Solutions on the Transverse Vibration of a Class of Nonuniform Beams , 1967 .
[22] D. F. Hays,et al. Table of Integrals, Series, and Products , 1966 .
[23] J. F. Dubil,et al. Vibration Frequencies of Truncated-Cone and Wedge Beams , 1965 .
[24] T. Huang,et al. The Effect of Rotatory Inertia and of Shear Deformation on the Frequency and Normal Mode Equations of Uniform Beams With Simple End Conditions , 1961 .
[25] F. F. Mahmoud,et al. Free vibration characteristics of a functionally graded beam by finite element method , 2011 .
[26] I. Elishakoff. An Equation Both More Consistent and Simpler Than the Bresse-Timoshenko Equation , 2009 .
[27] R. Xu,et al. Semi-analytical elasticity solutions for bi-directional functionally graded beams , 2008 .
[28] Maurice A. Biot,et al. Mathematical methods in engineering , 1940 .