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Q2/ Find the equivalent stiffness for the system shown in figure. K, = 235 N/m K...
2 with spring stiffness k 1000 N/m, Consider a mass-spring-damper system shown in Figure mass m...
2 with spring stiffness k 1000 N/m, Consider a mass-spring-damper system shown in Figure mass m = 10 kg, and damping constant c-150 N-s/m. If the initial displacement is xo-o and the initial velocity is 10 m/s (1) Find the damping ratio. (2) Is the system underdamped or overdamped? Why? (3) Calculate the damped natural frequency (4) Determine the free vibration response of the system.
determine the equivalent mass(meq)and equivalent spring stiffness of the system shown in the figure below using...
determine the equivalent mass(meq)and equivalent
spring stiffness of the system shown in the figure below using x as
the generalized coordinate
neral MES 382: Vibration & Noise Control Determine the equivalent mass (megl and equivalent spring stiffness (kea) of the syslem shown in the figure below using x as the generalized coordinate. b. ko Jo k2 k1
F(N) 2. A 15 kg oscillator with a stiffness of k = 960 N/m and damping...
F(N) 2. A 15 kg oscillator with a stiffness of k = 960 N/m and damping coefficient c = 60 Ns/m is driven by a square- wave excitation F(t) shown in the figure. Determine and plot the steady state response for 12 s using 100 terms in the Fourier series solution. 100 -100
dynamics Figure Q2(a) shows a slider of mass m slides along a frictionless circular rod in...
dynamics
Figure Q2(a) shows a slider of mass m slides along a frictionless circular rod in a vertical plane. The collar is acted by a constant force P in the direction = tan 3/4 as shown. Draw the FBD and the KE diagrams of the system at position 1 and 2 respectively. Calculate the normal reaction between the collar and rod at position 2 if R = 0.6 m, mass of slider = 3kg, the unstretched length of spring =...
A damped vibrating system consists of a spring of stiffness k = 3,600 N/m and a...
A damped vibrating system consists of a spring of stiffness k = 3,600 N/m and a mass of 5 kg. It is damped so that each amplitude is 99% of the previous one (i.e. after a full cycle). (a) Find the frequency of oscillation. (b) Find the damping constant. (c) Find the amplitude of the force of resonant frequency necessary to to keep the system vibrating at 25mm amplitude. (d) What is the rate of increase in amplitude if, at...
1. A SDOF system with an equivalent mass of 20 kg, an equivalent stiffness of 3x10'...
1. A SDOF system with an equivalent mass of 20 kg, an equivalent stiffness of 3x10' N/m and an equivalent viscous damping coefficient of 2500 Ns/m. The system is subject to a sinusoidal pulse of pulse of magnitude 20000 N and total duration of 0.05 sec. Use the response spectrum for a sinusoidal pulse to determine the maximum displacement of the system.
A system made up of a mass (m), attached to a spring of stiffness k [N/m]...
A system made up of a mass (m), attached to a spring of stiffness k [N/m] will oscillate to a specific amplitude (A) which will depend on an external force (F) and initial conditions. If all the variables involved are given in Table 1, formulate the necessary Pi groups to describe this behavior. Make sure you write the Pi groups using the parameters involved Variable Units A m m kg Parameter Amplitude Mass Spring constant External Force Frequency k N/m...
A system made up of a mass (m), attached to a spring of stiffness k [N/m]...
A system made up of a mass (m), attached to a spring of stiffness k [N/m] will oscillate to a specific amplitude (A) which will depend on an external force (F) and initial conditions. If all the variables involved are given in Table 1, formulate the necessary Pi groups to describe this behavior. Make sure you write the Pi groups using the parameters involved Parameter Variable Variable Units Amplitude A т Mass m kg Spring k N/m constant External F...
A system shown in Figure Q2 has a cross-sectional area, A- 15cm and is made of...
A system shown in Figure Q2 has a cross-sectional area, A- 15cm and is made of aluminum alloy (E= 70.0x 10 N/mm). Assume each node of the system can only move in a horizontal direction and assume the right direction as positive. The general equation of an element is: . Use the direct method to complete the following: -kk 5 kN 15 kN 3 m 3 m Figure Q2 Draw the schematic diagram of the system. Mark the indices of...
(t) 8k mm sm For the vibratory system shown in the figure, k=15000 N/m and m=1.5...
(t) 8k mm sm For the vibratory system shown in the figure, k=15000 N/m and m=1.5 kg. a. Derive the equations of motion. b. Calculate the natural frequencies. c. Find the ratio of the mode amplitudes and draw the mode shapes. Xy(t) w 3k 2m TA X2(t)
2 with spring stiffness k 1000 N/m, Consider a mass-spring-damper system shown in Figure mass m = 10 kg, and damping constant c-150 N-s/m. If the initial displacement is xo-o and the initial velocity is 10 m/s (1) Find the damping ratio. (2) Is the system underdamped or overdamped? Why? (3) Calculate the damped natural frequency (4) Determine the free vibration response of the system.
determine the equivalent mass(meq)and equivalent
spring stiffness of the system shown in the figure below using x as
the generalized coordinate
neral MES 382: Vibration & Noise Control Determine the equivalent mass (megl and equivalent spring stiffness (kea) of the syslem shown in the figure below using x as the generalized coordinate. b. ko Jo k2 k1
F(N) 2. A 15 kg oscillator with a stiffness of k = 960 N/m and damping coefficient c = 60 Ns/m is driven by a square- wave excitation F(t) shown in the figure. Determine and plot the steady state response for 12 s using 100 terms in the Fourier series solution. 100 -100
dynamics
Figure Q2(a) shows a slider of mass m slides along a frictionless circular rod in a vertical plane. The collar is acted by a constant force P in the direction = tan 3/4 as shown. Draw the FBD and the KE diagrams of the system at position 1 and 2 respectively. Calculate the normal reaction between the collar and rod at position 2 if R = 0.6 m, mass of slider = 3kg, the unstretched length of spring =...
A damped vibrating system consists of a spring of stiffness k = 3,600 N/m and a mass of 5 kg. It is damped so that each amplitude is 99% of the previous one (i.e. after a full cycle). (a) Find the frequency of oscillation. (b) Find the damping constant. (c) Find the amplitude of the force of resonant frequency necessary to to keep the system vibrating at 25mm amplitude. (d) What is the rate of increase in amplitude if, at...
1. A SDOF system with an equivalent mass of 20 kg, an equivalent stiffness of 3x10' N/m and an equivalent viscous damping coefficient of 2500 Ns/m. The system is subject to a sinusoidal pulse of pulse of magnitude 20000 N and total duration of 0.05 sec. Use the response spectrum for a sinusoidal pulse to determine the maximum displacement of the system.
A system made up of a mass (m), attached to a spring of stiffness k [N/m] will oscillate to a specific amplitude (A) which will depend on an external force (F) and initial conditions. If all the variables involved are given in Table 1, formulate the necessary Pi groups to describe this behavior. Make sure you write the Pi groups using the parameters involved Variable Units A m m kg Parameter Amplitude Mass Spring constant External Force Frequency k N/m...
A system made up of a mass (m), attached to a spring of stiffness k [N/m] will oscillate to a specific amplitude (A) which will depend on an external force (F) and initial conditions. If all the variables involved are given in Table 1, formulate the necessary Pi groups to describe this behavior. Make sure you write the Pi groups using the parameters involved Parameter Variable Variable Units Amplitude A т Mass m kg Spring k N/m constant External F...
A system shown in Figure Q2 has a cross-sectional area, A- 15cm and is made of aluminum alloy (E= 70.0x 10 N/mm). Assume each node of the system can only move in a horizontal direction and assume the right direction as positive. The general equation of an element is: . Use the direct method to complete the following: -kk 5 kN 15 kN 3 m 3 m Figure Q2 Draw the schematic diagram of the system. Mark the indices of...
(t) 8k mm sm For the vibratory system shown in the figure, k=15000 N/m and m=1.5 kg. a. Derive the equations of motion. b. Calculate the natural frequencies. c. Find the ratio of the mode amplitudes and draw the mode shapes. Xy(t) w 3k 2m TA X2(t)
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