Dynamic Analysis of Structures

Dynamic Analysis of Structures reflects the latest application of structural dynamics theory to produce more optimal and economical structural designs. Written by an author with over 37 years of researching, teaching and writing experience, this reference introduces complex structural dynamics concepts in a user-friendly manner. The author includes carefully worked-out examples which are solved utilizing more recent numerical methods. These examples pave the way to more accurately simulate the behavior of various types of structures. The essential topics covered include principles of structural dynamics applied to particles, rigid and deformable bodies, thus enabling the formulation of equations for the motion of any structure.

• Covers the tools and techniques needed to build realistic modeling of actual structures under dynamic loads
• Provides the methods to formulate the equations of motion of any structure, no matter how complex it is, once the dynamic model has been adopted
• Provides carefully worked-out examples that are solved using recent numerical methods
• Includes simple computer algorithms for the numerical solution of the equations of motion and respective code in FORTRAN and MATLAB

1. General concepts and principles of structural dynamics 2. Single-degree-of-freedom systems: Free vibrations 3. Single-degree-of-freedom systems: Forced vibrations 4. Numerical integration of the equation of motion 5. Nonlinear response: Single-degree-of-freedom systems 6. Response to ground motion and vibration isolation 7. Damping in structures 8. Generalized single-degree-of-freedom systems-Continuous systems 9. Analysis in the frequency domain 10. Multi-degree-of-freedom systems: Models and equations of motion 11. The finite element method 12. Multi-degree-of-freedom systems: Free vibrations 13. Numerical evaluation of the eigenfrequencies and eigenmodes 14. Multi-degree-of-freedom systems: Forced vibrations 15. Dynamic analysis of multi-story buildings 16. Base isolation Appendix. Equations of motion of the rigid body