Random Vibration of Structures

作者：Chunxu Yang, H. Saunders · 发表于：Journal of vibration and acoustics · 年份：1989 · DOI：10.1115/1.3269806 · 被引用次数：54 · 研究领域：Structural Health Monitoring Techniques、Vibration and Dynamic Analysis、Structural Engineering and Vibration Analysis

oscillations of order 1/3 and 1/2.Use of previously studied Routh-Hurwitz criterion is applied to stability of periodic solutions.Chapter 10 focuses upon initial conditions leading to different types of periodic oscillations.Initial considerations are given to symmetrical systems and location of fixed points and stability investigations.In turn, one applies this to subharmonic response (1/3 order), harmonic response (no subharmonics) and unsymmetric systems.Chapter 11 dwells upon periodic oscillations.The study includes almost periodic oscillations in a resonant circuit with superimposed direct current, periodic and almost periodic solution.It ends with almost periodic oscillations in a parametric excitation circuit where subharmonic oscillations have order of 1/2.In this part, illustrative examples, numerical solution of the resulting derived equations and experimental investigations comprise this section.Part IV points out the various aspects concerned with selfoscillations subjected to external forces.Chapter 12 explains entrainment of frequency, i.e., periodic force is applied to a system where free oscillation is of self-excited type.An illustrative example is the Van Der Pol equation containing an additional term for periodic excitation.This follows with harmonic entrainment where the driving frequency is in the neighborhood of unity.We proceed ahead into higher harmonic entrainment and subharmonic entrainment.In all cases, stability investigations and periodic solution...