CAJ | 학술논문

研究MRVE夹层梁随机振动的最优参数控制。建立夹层梁的运动微分方程，运用伽辽金法转化为含非线性参数控制项的振动方程；考虑控制参数的有界性，建立系统最优参数控制问题，应用随机动态规划原理与Bang-Bang策略确定HJB方程并得到最优有界非线性跳变参数控制律，最后通过数值结果说明该最优控制对于MRVE夹层梁随机振动能够达到显著控制效果。
연구MRVE협층량수궤진동적최우삼수공제。건립협층량적운동미분방정，운용가료금법전화위함비선성삼수공제항적진동방정；고필공제삼수적유계성，건립계통최우삼수공제문제，응용수궤동태규화원리여Bang-Bang책략학정HJB방정병득도최우유계비선성도변삼수공제률，최후통과수치결과설명해최우공제대우MRVE협층량수궤진동능구체도현저공제효과。
The optimal parameter control of random vibration of an MRVE sandwich beam was studied. The kinematic differential equations of the sandwich beam were derived and converted into the vibration equations with nonlinear parameter governing terms by using the Galerkin method. Considering the boundedness of the control parameters, the optimal parameter control method of the system was proposed. Then, the HJB equation was determined and the optimal bounded nonlinear-switch-parameter control law was obtained based on the random dynamical programming principle and Bang-Bang strategy. Numerical results show that the proposed control method can achieve remarkable effectiveness for the random vibration of the MRVE sandwich beam.