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Single Degree of Freedom -Free Damped Vibration of Machines and Vibrations problem shows a lever ...
Mechanics of Machines and Vibrations Single Degree of Freedom- Forced Damped Vibration Problem 15 A vehicle of mass 1,500 kg is placed on a vibrating platform to test the condition of its shock absorbers. The platform vibrates with y 3sin40t mm and it is found that the relative amplitude of steady state of the vehicle is 3 mm. If the equivalent stiffness of the suspension is ke 310° N/m, determine the following:- i. Damping ratio, ii. Equivalent damping constant of...
write a conclusion about Damped Free Vibration of SDOF System expermient discuss on frequency of damped vibration with reference to frequency of natural vibration. Will damping affect the natural frequency? depending on the following table Spring No. 1,k3.30 kN/m, m-2 k Damping Exp. Number 1st Peak of ,(n+1)th Peak, Xn+1 | δ -In 0 cycles, M+1 0.805 0.396 0.623 0.549 0.504 0.127 0.063 0.099 0.087 0.079 (N-s/m) 0.600 0.381 0.689 0.687 0.657 2 3.5 2.7 3.7 4.7 5.7 6.0 6.5 4...
write a conclusion about Damped Free Vibration of SDOF System expermient discuss on frequency of damped vibration with reference to frequency of natural vibration. Will damping affect the natural frequency? depending on the following table Spring No. 1,k3.30 kN/m, m-2 k Damping Exp. Number 1st Peak of ,(n+1)th Peak, Xn+1 | δ -In 0 cycles, M+1 0.805 0.396 0.623 0.549 0.504 0.127 0.063 0.099 0.087 0.079 (N-s/m) 0.600 0.381 0.689 0.687 0.657 2 3.5 2.7 3.7 4.7 5.7 6.0 6.5...
1.2096 Trial and error: by printing out (using any software) the damped free vibration solution under different damping coefficients, please choose the damping coefficient of a spring-mass- damper system with mass of 150 kg and stiffness of 20o0 N/m such that its response will die out after about 2 s, given a zero initial position and an initial velocity of 10 mm/s.
Consider a single degree of freedom (SDOF) with mass-spring-damper system subjected to harmonic excitation having the following characteristics: Mass, m = 850 kg; stiffness, k = 80 kN/m; damping constant, c = 2000 N.s/m, forcing function amplitude, f0 = 5 N; forcing frequency, ωt = 30 rad/s. (a) Calculate the steady-state response of the system and state whether the system is underdamped, critically damped, or overdamped. (b) What happen to the steady-state response when the damping is increased to 18000 N.s/m? (Hint: Determine...
Can I get help with this 2. (20 points) The damped single degree-of-freedom mass-spring system shown below has a mass m- 20 kg and a spring stiffness coefficient k 2400 N/m. a) Determine the damping coefficient of the system, if it is given that the mass exhibits a response with an amplitude of 0.02 m when the support is harmonically excited at the natural frequency of the system with an amplitude Yo-0.007 m b) Determine the amplitude of the dynamic...
PROBLEM 3: (40 points) A rigid massless lever ACB, as shown in Figure 3, is pivoting about point C. A mass mis attached at point A. Assume frictionless pivot point, frictionless pulley, massless pulley, and small angles. The parameters are Ki-30N/m, m=1 kg, K2-40N/m, C-4.35N-s/m, L=0.4 m, a=0.2 m, and b=0.15 m. (i) Draw the Free Body Diagram (FBD) (5 points). (ii) Use Newton's approach to derive the equations of the motion (10 points). (iii) Use Lagrange's method to derive...
Problem 2 (20%) Free Vibration with Velocity Dependent Force. Consider a 1 DOF system consisting of a block with mass 2 kg hanging from a spring with stiffness 100 N/m. The block is fully immersed in the liquid and based on the properties of the liquid, you have determined experimentally that the drag force (damping force) on the block has a magnitude of 0.91*] where x is velocity and 0.9 has units (Ns/m). Assume positive displacement of the block is...