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{"query":"BSS::A::*::I::1917300::*","current_page":1,"items":1,"data":[{"title":"Mechanical Vibrations THEORY AND 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Problems"}]}]},{"page":73,"title":"CHAPTER 2 MODELING OF SDOF SYSTEMS","children":[{"page":73,"title":"2.1 Introduction"},{"page":74,"title":"2.2 Springs","children":[{"page":74,"title":"2.2.1 Introduction"},{"page":75,"title":"2.2.2 Helical Coil Springs"},{"page":77,"title":"2.2.3 Elastic Elements as Springs"},{"page":79,"title":"2.2.4 Static Deflection"}]},{"page":80,"title":"2.3 Springs in Combination","children":[{"page":80,"title":"2.3.1 Parallel Combination"},{"page":80,"title":"2.3.2 Series Combination"},{"page":84,"title":"2.3.3 General Combination of Springs"}]},{"page":86,"title":"2.4 Other Sources of Potential Energy","children":[{"page":86,"title":"2.4.1 Gravity"},{"page":88,"title":"2.4.2 Buoyancy"}]},{"page":89,"title":"2.5 Viscous Damping"},{"page":92,"title":"2.6 Energy Dissipated by Viscous Damping"},{"page":94,"title":"2.7 Inertia Elements","children":[{"page":94,"title":"2.7.1 Equivalent Mass"},{"page":97,"title":"2.7.2 Inertia Effects of 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VIBRATIONS","children":[{"page":755,"title":"12.1 Introduction"},{"page":756,"title":"12.2 Sources of Nonlinearity"},{"page":761,"title":"12.3 Qualitative Analysis of Nonlinear Systems"},{"page":765,"title":"12.4 Quantitative Methods of Analysis"},{"page":767,"title":"12.5 Free Vibrations of SDOF Systems"},{"page":771,"title":"12.6 Forced Vibrations of SDOF Systems with Cubic Nonlinearities"},{"page":777,"title":"12.7 MDOF Systems","children":[{"page":777,"title":"12.7.1 Free Vibrations"},{"page":778,"title":"12.7.2 Forced Vibrations"}]},{"page":778,"title":"12.8 Continuous Systems"},{"page":779,"title":"12.9 Chaos"},{"page":787,"title":"12.10 Chapter Summary","children":[{"page":787,"title":"12.10.1 Important Concepts"},{"page":787,"title":"12.10.2 Important Equations"},{"page":788,"title":"Problems"},{"page":788,"title":"Short Answer Problems"},{"page":793,"title":"Chapter Problems"}]}]},{"page":799,"title":"CHAPTER 13 RANDOM VIBRATIONS","children":[{"page":799,"title":"13.1 Introduction"},{"page":800,"title":"13.2 Behavior of a Random Variable","children":[{"page":800,"title":"13.2.1 Ensemble Processes"},{"page":801,"title":"13.2.2 Stationary Processes"},{"page":802,"title":"13.2.3 Ergodic Processes"}]},{"page":802,"title":"13.3 Functions of a Random Variable","children":[{"page":802,"title":"13.3.1 Probability Functions"},{"page":804,"title":"13.3.2 Expected Value, Mean, and Standard Deviation"},{"page":804,"title":"13.3.3 Mean Square Value"},{"page":805,"title":"13.3.4 Probability Distribution for Arbitrary Function of Time"},{"page":806,"title":"13.3.5 Gaussian Process"},{"page":809,"title":"13.3.6 Rayleigh Distribution"},{"page":810,"title":"13.3.7 Central Limit Theorem"}]},{"page":811,"title":"13.4 Joint Probability Distributions","children":[{"page":811,"title":"13.4.1 Two Random Variables"},{"page":812,"title":"13.4.2 Autocorrelation Function"},{"page":815,"title":"13.4.3 Cross Correlations"}]},{"page":815,"title":"13.5 Fourier 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