Book contents
- Frontmatter
- Contents
- Preface for the Student
- Preface for the Instructor
- Acknowledgments
- List of Symbols
- 1 The Lagrange Equations of Motion
- 2 Mechanical Vibrations: Practice Using the Lagrange Equations
- 3 Review of the Basics of the Finite Element Method for Simple Elements
- 4 FEM Equations of Motion for Elastic Systems
- 5 Damped Structural Systems
- 6 Natural Frequencies and Mode Shapes
- 7 The Modal Transformation
- 8 Continuous Dynamic Models
- 9 Numerical Integration of the Equations of Motion
- Appendix I Answers to Exercises
- Appendix II Fourier Transform Pairs
- Index
- References
7 - The Modal Transformation
Published online by Cambridge University Press: 30 November 2009
- Frontmatter
- Contents
- Preface for the Student
- Preface for the Instructor
- Acknowledgments
- List of Symbols
- 1 The Lagrange Equations of Motion
- 2 Mechanical Vibrations: Practice Using the Lagrange Equations
- 3 Review of the Basics of the Finite Element Method for Simple Elements
- 4 FEM Equations of Motion for Elastic Systems
- 5 Damped Structural Systems
- 6 Natural Frequencies and Mode Shapes
- 7 The Modal Transformation
- 8 Continuous Dynamic Models
- 9 Numerical Integration of the Equations of Motion
- Appendix I Answers to Exercises
- Appendix II Fourier Transform Pairs
- Index
- References
Summary
- Type
- Chapter
- Information
- Introduction to Structural Dynamics , pp. 334 - 401Publisher: Cambridge University PressPrint publication year: 2006