Dynamics of structures / Jagmohan L. Humar

1. Introduction -- PART 1; 2. Formulation of the equations of motion: Single-degree-of-freedom systems -- 3. Formulation of the equations of motion: Multi-degree-of-freedom systems -- 4. Principles of analytical mechanics; PART 2; 5. Free vibration response: Single-degree-of-freedom system -- 6. Forced harmonic vibrations: Single-degree-of-freedom system -- 7. Response to general dynamic loading and transient response -- 8. Analysis of single-degree-of-freedom systems: Approximate and numerical methods -- 9. Analysis of response in the frequency domain --PART 3; 10. Free vibration response: Multi-degree-of-freedom system -- 11. Numerical solution of the eigenproblem -- 12. Forced dynamic response: Multi-degree-of-freedom systems -- 13. Analysis of multi-degree-of-freedom systems: Approximate and numerical methods -- PART 4; 14. Formulation of the equations of motion: Continuous systems -- 15. Continuous systems: Free vibration response -- 16. Continuous systems: Forced-vibration response -- 17. Wave propagation analysis; PART 5 -- 18. Finite element method -- 19. Component mode synthesis

This major textbook provides comprehensive coverage of the analytical tools required to determine the dynamic response of structures. The topics covered include: formulation of the equations of motion for single- as well as multi-degree-of-freedom discrete systems using the principles of both vector mechanics and analytical mechanics; free vibration response; determination of frequencies and mode shapes; forced vibration response to harmonic and general forcing functions; dynamic analysis of continuous systems;and wave propagation analysis.