Wednesday, May 1, 2019

Mechanical Vibrations Theory and Applications


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Description
Engineers apply mathematics and science to solve problems. In a traditional undergraduate engineering curriculum, students begin their academic career by taking courses in mathematics and basic sciences such as chemistry and physics. Students begin to develop basic problem-solving skills in engineering courses such as statics, dynamics, mechanics of solids, fluid mechanics, and thermodynamics. In such courses, students learn to apply basic laws of nature, constitutive equations, and equations of state to develop solutions to abstract engineering problems.

Vibrations is one of the first courses where students learn to apply the knowledge obtained from mathematics and basic engineering science courses to solve practical problems. While the knowledge about vibrations and vibrating systems is important, the problem-solving skills obtained while studying vibrations are just as important. The objectives of this book are twofold: to present the basic principles of engineering vibrations and to present them in a framework where the reader will advance his/her knowledge and skill in engineering problem solving. This book is intended for use as a text in a junior- or senior-level course in vibrations. It could be used in a course populated by both undergraduate and graduate students. The latter chapters are appropriate for use as a stand-alone graduate course in vibrations. The prerequisites for such a course should include courses in statics, dynamics, mechanics of materials, and mathematics using differential equations. Some material covered in a course in fluid mechanics is included, but this material can be omitted without a loss in continuity.

Content:-
CHAPTER 1: INTRODUCTION
CHAPTER 2: MODELING OF SDOF SYSTEMS
CHAPTER 3: FREE VIBRATIONS OF SDOF SYSTEMS
CHAPTER 4: HARMONIC EXCITATION OF SDOF SYSTEMS
CHAPTER 5: TRANSIENT VIBRATIONS OF SDOF SYSTEMS
CHAPTER 6: TWO DEGREE-OF-FREEDOM SYSTEMS
CHAPTER 7: MODELING OF MDOF SYSTEMS
CHAPTER 8: FREE VIBRATIONS OF MDOF SYSTEMS
CHAPTER 9: FORCED VIBRATIONS OF MDOF SYSTEMS
CHAPTER 10: VIBRATIONS OF CONTINUOUS SYSTEMS
CHAPTER 11: FINITE-ELEMENT METHOD
CHAPTER 12: NONLINEAR VIBRATIONS
CHAPTER 13: RANDOM VIBRATIONS
APPENDIX A. UNIT IMPULSE FUNCTION AND UNIT STEP FUNCTION
APPENDIX B. LAPLACE TRANSFORMS
APPENDIX C. LINEAR ALGEBRA
APPENDIX D. DEFLECTION OF BEAMS SUBJECT TO CONCENTRATED LOADS
APPENDIX E. INTEGRALS USED IN RANDOM VIBRATIONS
APPENDIX F. VIBES
REFERENCES
INDEX




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