Random vibration: mechanical, structural, and earthquake engineering applications

Content: Section Iâ  Basic Probability TheoryIntroductionBackground of Random VibrationFundamental Concept of Probability TheoryRandom VariablesFunctions of Random VariablesSystems and FunctionsSums of Random VariablesOther Functions of Random VariablesDesign ConsiderationsCentral Limit Theorems and ApplicationsSection IIâ  Random ProcessRandom Processes in the Time DomainDefinitions and Basic ConceptsStationary ProcessCorrelation AnalysisRandom Processes in the Frequency DomainSpectral Density FunctionSpectral AnalysisPractical Issues of PSD FunctionsSpectral Presentation of Random ProcessStatistical Properties of Random ProcessLevel CrossingsExtremaAccumulative DamagesSection IIIâ  VibrationsSingle-Degree-of-Freedom Vibration SystemsConcept of VibrationPeriodically Forced VibrationResponse of SDOF System to Arbitrary ForcesResponse of SDOF Linear Systems to Random ExcitationsStationary ExcitationsWhite Noise ProcessEngineering ExamplesCoherence AnalysesTime Series AnalysisRandom Vibration of MDOF Linear SystemsModelingDirect Model for Determining ResponsesNormal Mode MethodNonproportionally Damped Systems, Complex ModesModal CombinationSection IV Applications and Further DiscussionsInverse ProblemsIntroduction to Inverse ProblemsSystem Parameter IdentificationVibration TestingFailures of Systems3Ï  CriterionFirst Passage FailureFatigueConsiderations on Reliability DesignNonlinear Vibrations and Statistical LinearizationNonlinear SystemsNonlinear Random VibrationsMonte Carlo SimulationsReferencesIndex