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09. For the two degrees of freedom system shown in Figure 4, determine the steady state response ...
vibrations The given equation represents an undamped forced two degrees of freedom system. (a) Decouple the...
vibrations
The given equation represents an undamped forced two degrees of freedom system. (a) Decouple the equation and find the generalized mass [Ml; stiffiess [K]; force |F) while the generalized coordinates are, (a).(b) Determine the steady state response. ,6 -21 (31 2.
For the system shown in Figure 5, a. How many degrees of freedom is this system and why? (5) b. If x3-0 (the upper end...
For the system shown in Figure 5, a. How many degrees of freedom is this system and why? (5) b. If x3-0 (the upper end is fixed and K1 and K2=K (5) Write the equations of motion. Set the necessary matrix to find the natural frequencies and mode shapes Determine and explain how to get the natural frequencies 1. (5) (5) 2. 3. Figure 5 ww ww-
For the system shown in Figure 5, a. How many degrees of freedom...
Consider a single degree of freedom (SDOF) with mass-spring-damper system
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...
How to answer this Question 4 ISoalan 4 Figure 3 represents suspension The multi-degrees-of-freedom system shown...
How to answer this
Question 4 ISoalan 4 Figure 3 represents suspension The multi-degrees-of-freedom system shown masses, which connected with springs at both ends. Please show the dynamie equations of equilibrium of the system. Assume mmm- 20 kg and k-k-k-kket 2000 N/m dariak kobebasan vane dinniskkan dalany Rajah mwokif jisin ampaian yarng ean Prga pada keda be nang Sla dkn eranae dnon -m , -20 kg k,--ky-2000 Nm keseimbangan ststew Anggankan- (25 Marks/Markab) k k Figure 3 Rajah J
Question...
Problem 5 (20%) For the system shown in Figure 5, a. How many degrees of freedom is this system and why? (5) b. If x3 0...
Problem 5 (20%) For the system shown in Figure 5, a. How many degrees of freedom is this system and why? (5) b. If x3 0 (the upper end is fixed and K1 and K2=K Write the equations of motion. Set the necessary matrix to find the natural frequencies and mode shapes (5) (5) (5) 1. 2. 3. Determine and explain how to get the natural frequencies. m2 Figure 5 www
Problem 5 (20%) For the system shown in Figure...
Problem 6: For the two systems shown below, separately, identify the degrees of freedom and then ...
Problem 6: For the two systems shown below, separately, identify the degrees of freedom and then write the equations of motion, respectively. Also, for each system, determine the natural frequency and damping ratio. The two systems shown are set into motion via initial condition. For the first figure of problem 6 (the circular disc), the disc is performing fixed axis rotation about its center of mass, G. It has a radius of gyration kG about the axis through the center...
For the system shown in Figure 6, a. How many degrees of freedom is this system and why? b. Write the equations of moti...
For the system shown in Figure 6, a. How many degrees of freedom is this system and why? b. Write the equations of motion. For the remainder parts, assume alll the dampers are removed: c. If Ki=K3 and mim3, set the necessary matrix to find the natural frequencies and mode shapes d. For part c above, determine and explain how to get the natural frequencies. m1 Ty Absorber тз k1 С1 k3 m2 C2
For the system shown in Figure...
1. For the system shown in Figure 1. in determine the equations of motion taking degrees...
1. For the system shown in Figure 1. in determine the equations of motion taking degrees of freedom 01,02, X3, moment of inertia of slender rod about the center is 1G = m (10 points). 3 to m ki . > K2 Figure 1 Figure 1
Given the the mass-spring-damper system in Figure 3.10, assume that the contact forces are viscous friction....
Given the the mass-spring-damper system in Figure 3.10, assume
that the contact forces are viscous friction. 1. State the number
of degrees of freedom in the system.
2. Derive the equations of motion and state them in matrix
notation. 3. If f(t) = a (a constant), what is the long term state
of the system? 4. If the forcing is f(t) = A sin(ωt), and the
system parameters are given in Table 3.1, simulate the response
from rest. Plot all...
1. Consider the two degree of freedom system shown. (a) Find the natural frequencies for the system (b) Determine the modal fraction for each mode. (c) Draw the mode shapes for each mode and iden...
1. Consider the two degree of freedom system shown. (a) Find the natural frequencies for the system (b) Determine the modal fraction for each mode. (c) Draw the mode shapes for each mode and identify any nodes for each mode. (d) Demonstrate mode shape orthogonality. (e) If F- and the motion is initiated by giving the mass whose displacement is a velocity of 0.2 m/s when in equilibrium, determine 0) and ,0 (f) Determine the steady-state solution for both *)...
vibrations
The given equation represents an undamped forced two degrees of freedom system. (a) Decouple the equation and find the generalized mass [Ml; stiffiess [K]; force |F) while the generalized coordinates are, (a).(b) Determine the steady state response. ,6 -21 (31 2.
For the system shown in Figure 5, a. How many degrees of freedom is this system and why? (5) b. If x3-0 (the upper end is fixed and K1 and K2=K (5) Write the equations of motion. Set the necessary matrix to find the natural frequencies and mode shapes Determine and explain how to get the natural frequencies 1. (5) (5) 2. 3. Figure 5 ww ww-
For the system shown in Figure 5, a. How many degrees of freedom...
How to answer this
Question 4 ISoalan 4 Figure 3 represents suspension The multi-degrees-of-freedom system shown masses, which connected with springs at both ends. Please show the dynamie equations of equilibrium of the system. Assume mmm- 20 kg and k-k-k-kket 2000 N/m dariak kobebasan vane dinniskkan dalany Rajah mwokif jisin ampaian yarng ean Prga pada keda be nang Sla dkn eranae dnon -m , -20 kg k,--ky-2000 Nm keseimbangan ststew Anggankan- (25 Marks/Markab) k k Figure 3 Rajah J
Question...
Problem 5 (20%) For the system shown in Figure 5, a. How many degrees of freedom is this system and why? (5) b. If x3 0 (the upper end is fixed and K1 and K2=K Write the equations of motion. Set the necessary matrix to find the natural frequencies and mode shapes (5) (5) (5) 1. 2. 3. Determine and explain how to get the natural frequencies. m2 Figure 5 www
Problem 5 (20%) For the system shown in Figure...
Problem 6: For the two systems shown below, separately, identify the degrees of freedom and then write the equations of motion, respectively. Also, for each system, determine the natural frequency and damping ratio. The two systems shown are set into motion via initial condition. For the first figure of problem 6 (the circular disc), the disc is performing fixed axis rotation about its center of mass, G. It has a radius of gyration kG about the axis through the center...
For the system shown in Figure 6, a. How many degrees of freedom is this system and why? b. Write the equations of motion. For the remainder parts, assume alll the dampers are removed: c. If Ki=K3 and mim3, set the necessary matrix to find the natural frequencies and mode shapes d. For part c above, determine and explain how to get the natural frequencies. m1 Ty Absorber тз k1 С1 k3 m2 C2
For the system shown in Figure...
1. For the system shown in Figure 1. in determine the equations of motion taking degrees of freedom 01,02, X3, moment of inertia of slender rod about the center is 1G = m (10 points). 3 to m ki . > K2 Figure 1 Figure 1
Given the the mass-spring-damper system in Figure 3.10, assume
that the contact forces are viscous friction. 1. State the number
of degrees of freedom in the system.
2. Derive the equations of motion and state them in matrix
notation. 3. If f(t) = a (a constant), what is the long term state
of the system? 4. If the forcing is f(t) = A sin(ωt), and the
system parameters are given in Table 3.1, simulate the response
from rest. Plot all...
1. Consider the two degree of freedom system shown. (a) Find the natural frequencies for the system (b) Determine the modal fraction for each mode. (c) Draw the mode shapes for each mode and identify any nodes for each mode. (d) Demonstrate mode shape orthogonality. (e) If F- and the motion is initiated by giving the mass whose displacement is a velocity of 0.2 m/s when in equilibrium, determine 0) and ,0 (f) Determine the steady-state solution for both *)...
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