Survey of computer programs for heat transfer analysis

Abstract The finite element dynamic response of an unsymmetric composite laminated orthotropic beam, subjected to moving loads, has been studied. One-dimensional finite element based on classical lamination theory, first-order shear deformation theory, and higher-order shear deformation theory having 16, 20 and 24 degrees of freedom, respectively, are developed to study the effects of extension, bending, and transverse shear deformation. The theories also account for the Poisson effect, thus, the lateral strains and curvatures can be expressed in terms of the axial and transverse strains and curvatures and the characteristic couplings (bend–stretch, shear–stretch and bend–twist couplings) are not lost. The dynamic response of symmetric cross-ply and unsymmetric angle-ply laminated beams under the action of a moving load have been compared to the results of an isotropic simple beam. The formulation also has been applied to the static and free vibration analysis.

[1]  J. Padovan,et al.  Generalized solution of time dependent traveling load problem via moving finite element scheme , 1983 .

[2]  R. Szilard,et al.  Theory and Analysis of Plates, Classical and Numberical Methods , 1974 .

[3]  L. Meirovitch.  Analytical Methods in Vibrations , 1967 .

[4]  Klaus-Jürgen Bathe,et al.  AN EFFICIENT ALGORITHM FOR ANALYSIS OF NONLINEAR HEAT TRANSFER WITH PHASE CHANGES , 1982 .

[5]  H. D. Nelson,et al.  Dynamic Stability of a Beam Carrying Moving Masses , 1971 .

[6]  T. Y. Yang,et al.  Static and Dynamic Formulation of a Symmetrically Laminated Beam Finite Element for a Microcomputer , 1985 .

[7]  J. T. Bartoszek,et al.  A Simplified Shuttle Payload Thermal Analyzer /SSPTA/ program , 1979 .

[8]  J. Whitney.  Structural Analysis of Laminated Anisotropic Plates , 1987 .

[9]  M. Hogge,et al.  Two-dimensional deforming finite element methods for surface ablation , 1985 .

[10]  Jong-Shyong Wu,et al.  The dynamic analysis of a flat plate under a moving load by the finite element method , 1987 .

[11]  Fernando Venancio Filho.  Dynamic Influence Lines of Beams and Frames , 1966 .

[12]  J. Reddy.  Energy and variational methods in applied mechanics : with an introduction to the finite element method , 1984 .

[13]  A. Schlack,et al.  Dynamic Response of Plates Due to Moving Loads , 1967 .

[14]  S. Timoshenko,et al.  THEORY OF PLATES AND SHELLS , 1959 .

[15]  H. Saunders,et al.  Finite element procedures in engineering analysis , 1982 .

[16]  M. Khoshgoftaar,et al.  Finite element formulation and solution of nonlinear heat transfer , 1979 .

[17]  K. A. Rathjen,et al.  CAVE3: A general transient heat transfer computer code utilizing eigenvectors and eigenvalues , 1978 .

[18]  K. A. Rathjen.  CAVE: A computer code for two-dimensional transient heating analysis of conceptual thermal protection systems for hypersonic vehicles , 1977 .

[19]  P. Bradshaw,et al.  Physical and Computational Aspects of Convective Heat Transfer , 1984 .

[20]  Pedro V. Marcal,et al.  A NUMERICAL THERMO-MECHANICAL MODEL FOR THE WELDING AND SUBSEQUENT LOADING OF A FABRICATED STRUCTURE , 1973 .

[21]  John R Smith,et al.  MOVING LOAD TEST ON EXPERIMENTAL PRESTRESSED CONCRETE HIGHWAY SLAB , 1964 .

[22]  J. Reddy.  A Simple Higher-Order Theory for Laminated Composite Plates , 1984 .

[23]  N. Lex Mulcahy,et al.  Bridge response with tractor‐trailer vehicle loading , 1983 .