Description
Random Vibration
Mechanical, Structural, and Earthquake Engineering Applications
Advances in Earthquake Engineering Series
Authors: Liang Zach, Lee George C.
Language: English
Subjects for Random Vibration:
Keywords
MONTE CARLO; Pseudo Spectra; Basic Probability Theory; SDOF System; Random Variables; Damping Ratio; PDF and CDF; “Two-dimensional Approach”; ∞∫2 1 1; Central Limit Theorems; SDOF; Correlation Analysis; CDF; Random Process; MDOF System; PSD Functions; Autocorrelation Function; Spectral Analysis; Unit Impulse Response Function; Linear Systems; Statistical Properties of Random Process; Natural Frequency; Single-Degree-of-Freedom Vibration Systems; Mx Cx Kx; Semi-definite Method; CDF; Periodically Forced Vibration; Power Spectral Density Functions; Energy Method; Absolute Acceleration; Essence of Natural Frequency; Vibration System; Concept of Damping; Forcing Function; Dynamic Magnification Factors; Coherence Function; Transfer Functions; High Cycle Fatigue; Response of SDOF System to Arbitrary Forces; Random Variable; Response of SDOF Linear Systems to Random Excitations; Dynamic Magnification Factor; Stationary Excitations; Time Variable Load; Stationary and Ergodic Process; Joint PDF; White Noise Process; FPK Equation; Coherence Analyses; Time Series Analysis; Random Vibration of MDOF Linear Systems; Normal Mode Method; Nonproportionally Damped Systems; Modal Combination; Inverse Problems; System Parameter Identification; Vibration Testing; Failures of Systems; 3σ Criterion; First Passage Failure; Fatigue; Reliability Design; Nonlinear Systems; Nonlinear Vibrations and Statistical Linearization; Nonlinear Random Vibrations; Monte Carlo Simulations
668 p. · 15.6x23.4 cm · Hardback
Description
/li>Contents
/li>Biography
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Section I Basic Probability Theory. Introduction. Functions of Random Variables. Section II Random Process. Random Processes in the Time Domain. Random Processes in the Frequency Domain. Statistical Properties of Random Process. Section III Vibrations. Single-Degree-of-Freedom Vibration Systems. Response of SDOF Linear Systems to Random Excitations. Random Vibration of MDOF Linear Systems. Section IV Applications and Further Discussions. Inverse Problems. Failures of Systems. Nonlinear Vibrations and Statistical Linearization. References. Index.
