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Question Four (a) Determine the response x() for the undamped system subjected to the force F...
A 50 kg mass is subjected to the harmonic force F(t) 1000 cos 120t N. Design...
A 50 kg mass is subjected to the harmonic force F(t) 1000 cos 120t N. Design an undamped isolator so that the force transmitted to the base does not exceed 5% of the applied force. Also find the displacement amplitude of the mass of the system with isolation. (k- 34.2857 x 103 VX -1.4583 x 10-3m)
Problem 2 (25 points): Consider an undamped single-degree-of-freedom system with k = 10 N/m, 41 =...
Problem 2 (25 points): Consider an undamped single-degree-of-freedom system with k = 10 N/m, 41 = 10 N 92 = 8N, and m = 10 kg subjected to the harmonic force f(t) = qı sin(vt) + 92 cos(vt), v = 1 rad/ sec. Assume zero initial conditions (0) = 0 and c(0) = 0. Derive and plot the analytical solution of the displacement of the system. mm m = f(t) WWWWWWWW No friction Problem 2 Problem 3 (30 points): Using...
Consider an undamped system where the vector-matrix form of the system model is: [F(t) [8 orë...
Consider an undamped system where the vector-matrix form of the system model is: [F(t) [8 orë Mx + x = LO 183, 2000 -1800 x (-1800 45001 The system is initially at rest with X (0) = 0 and 2,0)=0 when input F(t) = 84 sin 15t is applied to the system. Use the modal decomposition method described in chapter 5 to find the system response. Some intermediate results (find these as part of your solution) are: The system's two...
X Incorrect The initially stationary 25-kg block is subjected to the time-varying force whose magnitude P...
X Incorrect The initially stationary 25-kg block is subjected to the time-varying force whose magnitude P is shown in the plot. Note that the force is zero for all times greater than 5 s. Determine the time ts at which the block comes to rest. P, N P 212 25 kg - 34 - Ik = 0.47 Mg = 0.64 0 0 5 t, s 3.119 Answe: ts s the tolerance is +/-2%
Consider an undamped system where the vector-matrix form of the system model is: F(t) [8 olx...
Consider an undamped system where the vector-matrix form of the system model is: F(t) [8 olx Mx + Kx = 0 18X, + 2000 -1800 x -1800 4500 I:1-[0] The system is initially at rest with x(0) = 0 and x,0)=0 when input F(t) = 84 sin15t is applied to the system. Use the modal decomposition method described in chapter 5 to find the system response. Some intermediate results (find these as part of your solution) are: The system's two...
63 Figure P6.3 shows a mass-damper system (no stiffness, Problem 2.3). Displacement x is measured...
63 Figure P6.3 shows a mass-damper system (no stiffness, Problem 2.3). Displacement x is measured from an equilibrium position where the damper is at the "neutral" position. The external force () is a short-duration pulse function: f(!)-5N for 0SS002 s, and f,() = 0 for t > 0.02 s. The system parameters are mass m-0.5kg and viscous friction coefficient b 3 N-s/m and the system is initially at rest. Usc Simulink to determine the system response and plot displacement xit)...
2. (25%) Consider an undamped system subject to a rectangular pulse given by F(t) Fo for...
2. (25%) Consider an undamped system subject to a rectangular pulse given by F(t) Fo for 0sts to and Ft) = 0 for t > to (a) Find the displacement response x() for 0ststo and t>to, respectively. (b) Find xmax for 0ststo and t> to, respectively.
2. (25%) Consider an undamped system subject to a rectangular pulse given by F(t) Fo for 0sts to and Ft) = 0 for t > to (a) Find the displacement response x() for 0ststo...
Question 4 (25% total) Use the Duhamel Integral method to determine expression for the response x(t) of an undamped SDO...
Question 4 (25% total) Use the Duhamel Integral method to determine expression for the response x(t) of an undamped SDOF system to a rectangular pulse force F(t) as shown in Figure 4.1 F for O StSt Ffor («>) F(t) Fo Figure 4.1
Question 4 (25% total) Use the Duhamel Integral method to determine expression for the response x(t) of an undamped SDOF system to a rectangular pulse force F(t) as shown in Figure 4.1 F for O StSt Ffor («>)...
Find the analytical solution for the response of the following viscously damped 1 DOF system subjected...
Find the analytical solution for the response of the following viscously damped 1 DOF system subjected to a force F(t)=Fcos(wt) Governing equation: mx(double dot) + cx(dot) + kx = F(t) w = 1 rad/sec Fo = 3 to= 0 m= 1kg c = 0.125 kg/s k = 1 N/m initial conditions: x0 = 2, x(dot)o = 0 Time increments are considered 0.1, 0.05, and 0.01 tE(0,70) User the FDM central method. RUnge-kutta method and analytical solution and compare your results
QUESTION 31 Forced Undamped system, Find the general response amplitude at the chosen time for the...
QUESTION 31 Forced Undamped system, Find the general response amplitude at the chosen time for the given system parameters: m= 2 kg k = 200 N/m • Initial Conditions: Xo = 0.005 m to = 0.5 • Initial amplitude of the external force, 10 N • Excitation's frequency w 4 rad/sec m Find x(t) t = 10 sec, x(t = 10) = Take Test: Test Part-2 VULUTUIN Find the response amplitude at the chosen time for the given system parameters:...
A 50 kg mass is subjected to the harmonic force F(t) 1000 cos 120t N. Design an undamped isolator so that the force transmitted to the base does not exceed 5% of the applied force. Also find the displacement amplitude of the mass of the system with isolation. (k- 34.2857 x 103 VX -1.4583 x 10-3m)
Problem 2 (25 points): Consider an undamped single-degree-of-freedom system with k = 10 N/m, 41 = 10 N 92 = 8N, and m = 10 kg subjected to the harmonic force f(t) = qı sin(vt) + 92 cos(vt), v = 1 rad/ sec. Assume zero initial conditions (0) = 0 and c(0) = 0. Derive and plot the analytical solution of the displacement of the system. mm m = f(t) WWWWWWWW No friction Problem 2 Problem 3 (30 points): Using...
Consider an undamped system where the vector-matrix form of the system model is: [F(t) [8 orë Mx + x = LO 183, 2000 -1800 x (-1800 45001 The system is initially at rest with X (0) = 0 and 2,0)=0 when input F(t) = 84 sin 15t is applied to the system. Use the modal decomposition method described in chapter 5 to find the system response. Some intermediate results (find these as part of your solution) are: The system's two...
X Incorrect The initially stationary 25-kg block is subjected to the time-varying force whose magnitude P is shown in the plot. Note that the force is zero for all times greater than 5 s. Determine the time ts at which the block comes to rest. P, N P 212 25 kg - 34 - Ik = 0.47 Mg = 0.64 0 0 5 t, s 3.119 Answe: ts s the tolerance is +/-2%
Consider an undamped system where the vector-matrix form of the system model is: F(t) [8 olx Mx + Kx = 0 18X, + 2000 -1800 x -1800 4500 I:1-[0] The system is initially at rest with x(0) = 0 and x,0)=0 when input F(t) = 84 sin15t is applied to the system. Use the modal decomposition method described in chapter 5 to find the system response. Some intermediate results (find these as part of your solution) are: The system's two...
63 Figure P6.3 shows a mass-damper system (no stiffness, Problem 2.3). Displacement x is measured from an equilibrium position where the damper is at the "neutral" position. The external force () is a short-duration pulse function: f(!)-5N for 0SS002 s, and f,() = 0 for t > 0.02 s. The system parameters are mass m-0.5kg and viscous friction coefficient b 3 N-s/m and the system is initially at rest. Usc Simulink to determine the system response and plot displacement xit)...
2. (25%) Consider an undamped system subject to a rectangular pulse given by F(t) Fo for 0sts to and Ft) = 0 for t > to (a) Find the displacement response x() for 0ststo and t>to, respectively. (b) Find xmax for 0ststo and t> to, respectively.
2. (25%) Consider an undamped system subject to a rectangular pulse given by F(t) Fo for 0sts to and Ft) = 0 for t > to (a) Find the displacement response x() for 0ststo...
Question 4 (25% total) Use the Duhamel Integral method to determine expression for the response x(t) of an undamped SDOF system to a rectangular pulse force F(t) as shown in Figure 4.1 F for O StSt Ffor («>) F(t) Fo Figure 4.1
Question 4 (25% total) Use the Duhamel Integral method to determine expression for the response x(t) of an undamped SDOF system to a rectangular pulse force F(t) as shown in Figure 4.1 F for O StSt Ffor («>)...
QUESTION 31 Forced Undamped system, Find the general response amplitude at the chosen time for the given system parameters: m= 2 kg k = 200 N/m • Initial Conditions: Xo = 0.005 m to = 0.5 • Initial amplitude of the external force, 10 N • Excitation's frequency w 4 rad/sec m Find x(t) t = 10 sec, x(t = 10) = Take Test: Test Part-2 VULUTUIN Find the response amplitude at the chosen time for the given system parameters:...
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