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.
Sprache
Verlagsort
Verlagsgruppe
Illustrationen
3
3 s/w Abbildungen
XI, 222 p. 3 illus.
Dateigröße
ISBN-13
978-1-4471-1886-2 (9781447118862)
DOI
10.1007/978-1-4471-1886-2
Schweitzer Klassifikation
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.
