Structural Dynamics And Modal Analysis EOLSS（EOLSS结构动力学和模态分析）.pdf

EXPERIMENTAL MECHANICS - Structural Dynamics And Modal Analysis - D. A. Rade and V. Steffen, Jr STRUCTURAL DYNAMICS AND MODAL ANALYSIS D. A. Rade and V. Steffen, Jr Federal University of Uberlandia, School of Mechanical Engineering, Brazil Keywrds: mechanical vibrations, finite elements, vibration testing, modal analysis, structural dynamics. Contents 1. Introduction 2. Theoretical Foundations of Structural Dynamics 2.1. Equations of Motion for Discrete Systems 2.2. Undamped Free-Vibrations. Eigenvalues and Eigenvectors S 2.3. Expansion Theorem 2.4. Free Responses of Undamped Systems to Initial Conditions S S 2.4.1. Systems with Rigid Body Modes L R 2.5. Harmonic Vibrations of Undamped Systems 2.6. General Forced Responses of Undamped Systems E O 2.7. Free Responses of Viscously Damped Systems T 2.7.1. System Matrices Commute E 2.7.2. System Matrices do not Commute P 2.8. Harmonic Responses of Viscously Damped Systems – 2.9. Forced Responses of Viscously Damped Systems A 2.10. Examples O H 3. Continuous Systems 3.1. Equations of Motion C C 3.2. Eigenvalue Problem 3.3. Expansion Theorem S E 3.4. Free Response to Initial Conditions E 3.5. General Forced Responses L 3.6. Examples N P 3.6.1. Natural Frequencies and Eigenfunctions 3.6.2. Free Response to Initial Conditions U M 4. Finite Element Modeling in Structural Dynamics 4.1. Finite Element Equations of Motion of Euler-Bernoulli A 4.1.1 Element-level Equations of Motion 4.1.2. Assembling of Global Equations of Motion S 4.2. Enforcing Boundary Con