Mass Spring System(弹簧系统)
This solves the equation of motion of a spring of mass m/unit length, fixed at one end and containing a mass M at its free end. The mass M is initially at rest and is displaced by an amount U0 such that the spring is in tension. The spring has spring constant k, natural length ...
Single DOF mechanical mass-spring system. (11.37)F=mx¨+kx A time derivative can be described with the Laplace operator s; therefore, the motion equation can also be given as Eq. (11.38): (11.38)F=ms2+kx A block diagram of the mechanical mass-spring system is shown in Fig. 11.21. A...
nonlinear differential equations/ mass-spring systemsingular controlvertically aligned spiral springviscous dampingcompressioncoilsspring control forcenonlinear differential equationA vertically aligned spiral spring of negligible mass, fixed at its lower end, and carrying a heavy load which is constrained to ...
The equation for Hooke's Law is F = -kx, where F is the force applied, k is the spring constant, and x is the displacement of the spring. How does the spring constant affect the force applied? The spring constant, k, represents the stiffness of the spring. A higher spri...
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I am trying to solve an mass-spring-damper system ODE as a global equation, where the system is excited using a time-harmonic force. I tried to set up the equation like this: Name: x Equation: F - k*x - c*xt - m*xtt (k, c and m are constants and F is the force) ...
vibrationintheverticaldirectionY,theequationofmotionofthesystemisgivenby: (1) where: Misthetotalmassofthesystem,andequalsto: misthetotalmassofthedisks Fromtheequationofmotion,wecanfindthat: *Naturalfrequency=(2) *Periodofoscillation=(3) ForthelinearspringfollowingHook’slaw,then: (4) Butforthe...
Equation Generation: Mass-Spring-Damper. This is a mass-spring-damper system modeled using multibody components. The simulation results window shows the x position of the mass versus time as well as the 3-D playback of the oscillating mass. The equati
In this paper, the application of the Physics-Informed Neural Network (PINN) tool to solve the mass-spring system with free oscillations described by an ordinary differential equation is studied and the results are compared to the analytic solution. PINNs offer the dual benefit of being data-driv...