![]() ![]() The Xcos block diagram is the same as in the forced response case, the only difference being the initial condition setting of the position (0.4 m). To verify the influence of nonlinear stiffness on the energy absorption capacity of the vibration absorber, assuming that the linear damping (40 N·s/m) and mass ratio (0. It will result in response amplitudes x1amp, x2amp, x3amp. With a sinusoidal excitation, the system masses will eventually obtain a steady-state sinusoidal response. The function is time dependent, since the value of a sinusoidal force varies with each time step. The total response of the mass spring-damper system will be the variation in time of the displacement x. The total mass of the carriage plus the three 1 2 -kilogram attached metal slabs is m 2.20 kg, and the stiffness of the spring is k 770 N/m. The excitation is a sinusoidal function with an amplitude, frequency and phase. At time t = 10 s, the input force will become 0.5 N and it will pull the mass to the right. force vector caused by gravity and spring-damper element. Which translates into: at time t = 0 (when simulation starts), the position of the mass is 0.4 m and the speed is 0 m/s. flexible beam with which a mass or a multibody system interacts, a lumped mass is considered. ![]() The condition for the equilibrium is thus: Fy Fg F(y0) 0 mg ky0 0 mg ky0 Now, consider the forces on the mass at some position y when the spring is extended downwards relative to the equilibrium position (right panel of Figure 13.2.1 ). The equation of motion of the body mass is (for a complete explanation of how to derive the equation, read the article Mechanical systems modeling using Newton’s and D’Alembert equations): \[ This work models and analyses the dynamics of a general spring-mass-damper system that is in frictional contact with its support, taking into account frictional heat generation and a reactive. The only forces exerted on the mass are the force from the spring and its weight. Image: Translational mass with spring and damper
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