Stationary response of stochastic viscoelastic system with the right unilateral nonzero offset barrier impacts
Stationary response of stochastic viscoelastic system with the right unilateral nonzero offset barrier impacts
复制标题
右单边非零偏移障碍物冲击随机粘弹性系统的稳态响应
DOI：
10.1088/1674-1056/28/1/010203
复制
发表时间：
2019
影响因子：
1.7
通讯作者：
Gu Xudong
中科院分区：
文献类型：
--
作者：
Wang Deli;Xu Wei;Gu Xudong
研究了具有右单边非零偏置势垒冲击的粘弹性动力系统在随机激励下的平稳响应。首先，将粘弹性力近似处理为与效应相关的等效项。然后，吸收自由振动-冲击（VI）系统，根据系统能量水平描述无冲击的周期运动和有冲击的准周期运动。采用能量包络随机平均（SAEE）求平稳概率密度函数。求解了具有右单边非零偏置势垒的Van der Pol粘弹性VI系统的详细理论结果，证明了粘弹性阻尼和非零刚性势垒冲击条件的重要影响。通过蒙特卡罗（MC）仿真验证了所提方法的可靠性。进一步探讨了由系统参数引起的随机p分岔问题。弹性模量由负到零再到正的变化过程见证了随机p分岔的演化过程。从公共值附近到更大范围内，松弛时间诱导了两种区间格式的随机p分岔。
The stationary response of viscoelastic dynamical system with the right unilateral nonzero offset barrier impacts subjected to stochastic excitations is investigated. First, the viscoelastic force is approximately treated as equivalent terms associated with effects. Then, the free vibro-impact (VI) system is absorbed to describe the periodic motion without impacts and quasi-periodic motion with impacts based upon the level of system energy. The stochastic averaging of energy envelope (SAEE) is adopted to seek the stationary probability density functions (PDFs). The detailed theoretical results for Van der Pol viscoelastic VI system with the right unilateral nonzero offset barrier are solved to demonstrate the important effects of the viscoelastic damping and nonzero rigid barrier impacts condition. Monte Carlo (MC) simulation is also performed to verify the reliability of the suggested approach. The stochastic P-bifurcation caused by certain system parameters is further explored. The variation of elastic modulus from negative to zero and then to positive witnesses the evolution process of stochastic P-bifurcation. From the vicinity of the common value to a wider range, the relaxation time induces the stochastic P-bifurcation in the two interval schemes.
DOI：
10.1016/b978-0-7204-2369-3.x5001-2
发表时间：
2011-11
期刊：
--
影响因子：
--
作者：
W. Findley;K. Onaran;J. Lai
通讯作者：
W. Findley;K. Onaran;J. Lai