This tool involves the idealization of an isolated raft system using a two degree-of-freedom (2DOF) spring-mass-damper system that allows for nonlinear mount characteristics to be incorporated. For this system, the governing equations of motion are derived and solved using a fi...
magnetorheological damper (MR damperdegree-of-freedom (dofmass-spring-damper systemforce transmissibilityThis paper describes the semi active control of a single as well as two degree-of-freedom (sdof and 2dof) system with a magnetorheological (MR) damper. The investigation was done using a MATLAB...
Then, we will use a nonlinear mass-spring-damper mechanical system borrowed from [40] and [34] to demonstrate the effectiveness of the developed controller design method in the second example. Example 1 Consider system (7) with r = 1, and the associated system parameters are given byA1=...
By resorting to the Lyapunov stability analysis and the average dwell time method, it is shown that all system signals are bounded under switching signals and the predefined constraints are not violated. Finally, simulation analysis on the mass-spring-damper systems are conducted to substantiate the...
- A mass-spring-damper system with a position-dependent damping coefficient 2c (x 2 -1) - For large x, 2c (x 2 -1)>0 : the damper removes energy from the system - convergent tendency. - For small x, 2c (x 2 -1)<0 : the damper adds energy to the system - divergen...
Mass-spring-dampersystem m k(x) c(˙x) E x ' u Equationofmotion: ¨x+c(˙x)+k(x)=u c(˙x)=˙x k(x)nonlinear: k 0 x Inputu(t) 05101520 0 10 20 30 40 50 t u Responsex(t) 05101520 −3 −2 −1 0 1 2
To validate the theoretical results, the proposed general VI method is implemented by two neural networks on a nonlinear spring-mass-damper system and two situations are considered to show the effectiveness. 展开 关键词: Adaptive dynamic programming Optimal control Reinforcement learning Continuous-time ...
To verify the proposed method, we consider a simple nonlinear mass-spring-damper mechanical system in Tanaka, Ikeda, and Wang (1996), whose dynamic equation is given byMx¨(t)+c1x˙(t)+c2x(t)=(1+c3x˙3(t))u(t)+w(t),where M is the mass, u(t) is the force, and w(t) is...
Consider a nonlinear mass-spring-damper system [32], which is shown in Fig. 2, the dynamic equation of the system is described byMs¨+g(s,ṡ)+f(s)+ϕ1(s)ω=ϕ2(s)uwhere ω denotes the external disturbance; M is the mass; s is the displacement; u is the force; g(s,...
compression spring acts as a restoring force to bring the bob back to its neutral position. The change in compression on the restoring spring effectively changes the center frequency of the mass damper to keep the frequency response of the machine tool within the bandwidth of the mass damper. ...