提出了一种具有更广调频宽度的摇摆双调谐质量阻尼器(dual-tuned mass damper,RDTMD)。首先,建立了单自由度RDTMD减振系统在简谐激励作用下的动力方程,推导得出其位移动力放大系数表达式;然后,基于RDTMD的优化评价函数,编译参数优化程序...提出了一种具有更广调频宽度的摇摆双调谐质量阻尼器(dual-tuned mass damper,RDTMD)。首先,建立了单自由度RDTMD减振系统在简谐激励作用下的动力方程,推导得出其位移动力放大系数表达式;然后,基于RDTMD的优化评价函数,编译参数优化程序,获得RDTMD的全局最优参数以及条件最优参数;接着,探讨了阻尼器各参数对系统动力放大系数和调频宽度的影响规律,并对影响其鲁棒性的关键参数做了分析;最后,与传统DTMD、MTMD、TMD的减振效果和鲁棒性做了对比分析。分析结果表明:采用RDTMD对结构进行控制可有效降低主结构的动力响应;RDTMD的调频宽度更广,提高了阻尼器对主结构高阶振型的控制能力;在对装置鲁棒性的影响更大的主结构固有频率方面,RDTMD的鲁棒性明显优于其他同类阻尼器,是一种理想的减振控制装置。展开更多
A difficult but important problem in optimal control theory is the design of an optimal feedback control, i.e., the design of an optimal control as function of the phase (state) coordinates [1,2]. This problem can be ...A difficult but important problem in optimal control theory is the design of an optimal feedback control, i.e., the design of an optimal control as function of the phase (state) coordinates [1,2]. This problem can be solved not often. We study here the autonomous nonlinear system of second order in general form. The constraints imposed on the control input can depend on the phase (state) coordinates of the system. The goal of the control is to maximize or minimize one phase coordinate of the considered system while other takes a prescribed in advance value. In the literature, optimal control problems for the systems of second order are most frequently associated with driving both phase coordinates to a prescribed in advance state. In this statement of the problem, the optimal control feedback can be designed only for special kind of systems. In our statement of the problem, an optimal control can be designed as function of the state coordinates for more general kind of the systems. The problem of maximization or minimization of the swing amplitude is considered explicitly as an example. Simulation results are presented.展开更多
文摘提出了一种具有更广调频宽度的摇摆双调谐质量阻尼器(dual-tuned mass damper,RDTMD)。首先,建立了单自由度RDTMD减振系统在简谐激励作用下的动力方程,推导得出其位移动力放大系数表达式;然后,基于RDTMD的优化评价函数,编译参数优化程序,获得RDTMD的全局最优参数以及条件最优参数;接着,探讨了阻尼器各参数对系统动力放大系数和调频宽度的影响规律,并对影响其鲁棒性的关键参数做了分析;最后,与传统DTMD、MTMD、TMD的减振效果和鲁棒性做了对比分析。分析结果表明:采用RDTMD对结构进行控制可有效降低主结构的动力响应;RDTMD的调频宽度更广,提高了阻尼器对主结构高阶振型的控制能力;在对装置鲁棒性的影响更大的主结构固有频率方面,RDTMD的鲁棒性明显优于其他同类阻尼器,是一种理想的减振控制装置。
文摘A difficult but important problem in optimal control theory is the design of an optimal feedback control, i.e., the design of an optimal control as function of the phase (state) coordinates [1,2]. This problem can be solved not often. We study here the autonomous nonlinear system of second order in general form. The constraints imposed on the control input can depend on the phase (state) coordinates of the system. The goal of the control is to maximize or minimize one phase coordinate of the considered system while other takes a prescribed in advance value. In the literature, optimal control problems for the systems of second order are most frequently associated with driving both phase coordinates to a prescribed in advance state. In this statement of the problem, the optimal control feedback can be designed only for special kind of systems. In our statement of the problem, an optimal control can be designed as function of the state coordinates for more general kind of the systems. The problem of maximization or minimization of the swing amplitude is considered explicitly as an example. Simulation results are presented.
