Determine the equation of motion of the mass II.2. Express the solution in permanent regime, and establish the expression of the vibration amplitude Xo of the mass function of w

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September 11, 2021
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September 11, 2021

Determine the equation of motion of the mass II.2. Express the solution in permanent regime, and establish the expression of the vibration amplitude Xo of the mass function of w

Consider a mass m linked to a support P by a spring of stiffness k and a viscous friction damper with coefficient a.. The othب

this is an intro to mechanical ViBRATION Problem, I know the solution to this problem using matrixes, but this problems weights 6 pts out of the 100 overall course grade I want a 100% full correction to this problem, I saw a solution on this problem on previous post but its not full and contain errors

Consider a mass m linked to a support P by a spring of stiffness k and a viscous friction damper with coefficient a.. The other end of the mass is linked to a spring of stiffness constant ki. The attachment point of ki is subjected to a sinusoidal displacement s(t) of frequency w and amplitude So (s(t) = So Sin (w.t)) s(t) calm Ham-+ II.1. Determine the equation of motion of the mass II.2. Express the solution in permanent regime, and establish the expression of the vibration amplitude Xo of the mass function of w. II.3. Calculate the damping coefficient a so that the amplitude of motion of the mass m is equal to (So/10) when w=w, (take k=ki=10 N/m; m=0.1 Kg; So = 1cm) II.4. We define the transmissibility factor T as the ration between the transmitted force to the support P and the exciting force acting on the mass m, T = 7 II.4.1. Determine the expression of T II.4.2- Calculate T for W = V2 (take k=ki=10 N/m; m=0.1 Kg; a = 100Kg/s) II.4.3. What becomes T if w>>>>>>wn?

 


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