CONTENTS Preface 21 Acknowledgments 24 List of Symbols 25 1. Fundamentals of Vibration 31 2. Free Vibration of Single Degree of Freedom Systems 136 3. Harmonically Excited Vibration 249 4. Vibration Under General Forcing Conditions 332 5. Two Degree of Freedom Systems 411 6. Multidegree of Freedom Systems 478 7. Determination of Natural Frequencies and Mode Shapes 572 8. Continuous Systems 618 9. Vibration Control 687 10.Vibration Measurement and Applications 771 11. Numerical Interation Methods in Vibration Analysis 838 12. Finite Element Method 886 13. Nonlinear Vibration 931 14. Random Vibration 1003 APPENDIX A : Mathematical Relationships 1061 APPENDIX B : Deflection of Beams and Plates 1064 APPENDIX C : Matrices 1067 APPENDIX D : Laplace Transform Pairs 1074 APPENDIX E : Units 1076 APPENDIX F : Introduction to MATLAB 1079 Answers to Selected Problems 1089 Index 1101