Finite Element Programs for Structural Vibrations

Finite Element Programs for Structural Vibrations presents detailed descriptions of how to use six computer programs (written in Fortran 77) to determine the resonant frequencies of one, two, and three-dimensional skeletal structures through the finite element method. Chapter 1 is on "The Finite Element Method" and Chapter 2 demonstrates, with the aid of hand calculations, the finite element solution of some smaller structures. Chapter 3 covers "The Modular Approach", and Chapters 4 to 9 describe the six computer programs, with a large number of worked examples. The six computer programs are given in Appendices I through VI, and on a 3 1/2'' disk included with the book. The programs are suitable for use on IBM (or compatible) PC (640K or more) or minicomputer.

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1 The Finite Element Method.- 1.1 The Finite Element Method.- 1.2 Derivation of the Elemental Stiffness Matrix of a Rod.- 1.3 Derivation of the Elemental Mass Matrix for a Rod.- 1.4 System Stiffness and Mass Matrices.- 1.5 Elemental Stiffness and Mass Matrices in Global Coordinates.- 1.6 Elemental [k] and [m] for a Beam.- 2 Problem Solving in Structural Vibrations.- 2.1 Plane Pin-jointed Trusses.- 2.2 Continuous Beams.- 2.3 Pin-jointed Space trusses.- 3 The Modular Approach in Finite Element Programming.- 3.1 Flow Diagram.- 3.2 The Modular Approach in Programming.- 4 Vibrations of Plane Pin-jointed Trusses.- 4.1 Description of Program.- 4.2 Data.- 4.3 Vibration Problems Involving Plane Pin-jointed Trusses.- 5 Vibrations of Continuous Beams.- 5.1 Description of Program.- 5.2 Data.- 5.3 Continuous Beams Problems.- 6 Vibrations of Rigid-jointed Plane Frames.- 6.1 Description of Program.- 6.2 Data.- 6.3 Rigid-jointed Plane Frame Problems.- 7 Vibrations of Space Trusses.- 7.1 Description of Program.- 7.2 Data.- 7.3 Pin-jointed Space Truss Problems.- 8 Vibrations of Rigid-jointed Space Frames.- 8.1 Description of Program.- 8.2 Data.- 8.3 Rigid-jointed Space Frame Problems.- 9 Vibration of Grillages.- 9.1 Description of Program.- 9.2 Data.- 9.3 Grillage Problems.- Appendix 1 Computer Program for the Vibration of Plane Pin-jointed Trusses.- Appendix 2 Computer Program for the Vibration of Continuous Beams.- Appendix 3 Computer Program for the Vibration of Rigid-jointed Plane Frames.- Appendix 4 Computer Program for the Vibration of Pin-jointed Space Trusses.- Appendix 5 Computer Program for the Vibration of Rigid-jointed Space Frames.- Appendix 6 Computer Program for the Vibration of Cross-stiffened Grids.- References.