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.
Inhaltsverzeichnis
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.
