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Dr. Juma Yousuf Alaydi Mechanical Engineering

Islamic University

Dr. Juma Yousuf Alaydi

Dr. Juma Yousuf Alaydi

Vibration Under General Forcing Conditions

Chapter Outline 1. Learning Objectives 2. Response Under a General Periodic Force 3. Response Under a Periodic Force of Irregular Form 4. Response Under a Nonperiodic Force 5. Convolution Integral 6. Response Spectrum

Dr. Juma Yousuf Alaydi

Learning Objectives 1. After completing this chapter, you should be able to do the following: 2. Find the responses of single-degree-of-freedom systems subjected to

general periodic forces using Fourier series. 3. Use the method of convolution or Duhamel integral to solve vibration

problems of systems subjected to arbitrary forces. 4. Find the response of systems subjected to earthquakes using response

spectra. 5. Solve undamped and damped systems subjected to arbitrary forces,

including

Dr. Juma Yousuf Alaydi

4.2 Response Under a General Periodic Force

Dr. Juma Yousuf Alaydi

4.2.1 First-Order Systems

Dr. Juma Yousuf Alaydi

Dr. Juma Yousuf Alaydi

Dr. Juma Yousuf Alaydi

4.2.2 Second-Order Systems

Dr. Juma Yousuf Alaydi

Dr. Juma Yousuf Alaydi

Dr. Juma Yousuf Alaydi

Dr. Juma Yousuf Alaydi

Dr. Juma Yousuf Alaydi

Dr. Juma Yousuf Alaydi

Dr. Juma Yousuf Alaydi

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