20. Analysis of nonlinear responseAnswers to selected problems.
Front Cover; Dedication; Contents; Preface; Preface to Second Edition; List of symbols; 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 domainPART 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.
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1 Introduction 1.1 Objectives of the study of structural dynamics 1.2 Importance of vibration analysis 1.3 Nature of exciting forces 1.3.1 Dynamic forces caused by rotating machinery 1.3.2 Wind loads 1.3.3 Blast loads1.3.4 Dynamic forces caused by earthquakes 1.3.5 Periodic and nonperiodic loads 1.3.6 Deterministic and nondeterministic loads 1.4 Mathematical modeling of dynamic systems 1.5 Systems of units 1.6 Organization of the text PART 12 Formulation of the equations of motion: Single-degree-of-freedom systems 2.1 Introduction 2.2 Inertia forces 2.3 Resultants of inertia forces on a rigid.