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path Wordsso QUESTION 7 A single degree of freedom system is excited by a harmonic force...
2) A single degree of freedom system is excited by sinusoidal force. Determine the damping ratio...
2) A single degree of freedom system is excited by sinusoidal force. Determine the damping ratio of the system if the amplitude of displacement at resonance is 2 in, the exciting frequency is one- tenth of the natural frequency and the amplitude of displacement at resonance is 0.2 in a) 0.25 Hz b) 0.5 Hz c) 0.0025 Hz d) 005 Hz
2) A single degree of freedom system is excited by sinusoidal force. Determine the damping ratio of the system...
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...
Can I get help with this 2. (20 points) The damped single degree-of-freedom mass-spring system shown...
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...
Consider the single degree-of-freedom (DOF) dynamic system whose EOM is shown below: a. Find the natural...
Consider the single degree-of-freedom (DOF) dynamic system whose EOM is shown below: a. Find the natural frequency, damping ratio, and stiffness. b. Find the complete response when the initial conditions are y(0) 0, (0)-1 c. Compare the answers from mathematical software (eg. Matlab or Mathematica). Plot the responses from 0 to 10 seconds (both displacement and velocity) with the software. Append the software codes.
13. Briefly describe how a two degree of freedom system can be made to vibrate in one of its pure...
13. Briefly describe how a two degree of freedom system can be made to vibrate in one of its pure modes. sャ 2. (a) Sketch the amplitude ratio and phase angle for damping of 0.01 and 0.3, and indicate the peak amplitude values. Name the axes with correct numerica (b) Compare this amplitude diagram with a similar one that corresponds to base excitation, emphasizing t a single degree of freedom system subjected to harmonic force with phasizing the differences (15)...
Mechanics of Machines and Vibrations Single Degree of Freedom- Forced Damped Vibration Problem 15...
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...
By referring to Figure Q2, a vehicle is modeled as a single-degree-of-freedom system vibrating in the...
By referring to Figure Q2, a vehicle is modeled as a single-degree-of-freedom system vibrating in the vertical direction. It is driven along a road whose profile varies sinusoidally. The distance from peak to trough is 0.20 m and distance along the road between the peaks in 37 m. If the natural frequency of the vehicle is 2.10 Hz and damping ratio of shock absorbed is 0.18 (a) Determine the amplitude of vibration of the vehicle at a speed of 55 km/hr. (b)...
An automobile is considered as a system consisting of a mass-spring of single degree of freedom...
An automobile is considered as a system consisting of a
mass-spring of single degree of freedom and dampener that makes
vibration movement in the vertical direction. The car is driven on
a road that its surface is sinusoidally changing as shown in the
figure. The distance between the highest point and the lowest point
on the road surface is 0.2 m, and the distance between two
consecutive peaks along the road is 35 m. If the natural frequency
of the...
NOTE: this is base excitation not force vibration. 1: For the single degree of freedom system...
NOTE: this is base excitation not
force vibration.
1: For the single degree of freedom system driven by a harmonic base motion we discussed in the class. The governing equation is given by mž + ci + kx = cy + ky Where y(t) = Y sin wt and w is the driving (excitation) frequency. Given the initial conditions are x(0) = x, and (0) = v.. Combine the homogeneous and particular solutions and satisfy the initial conditions to obtain...
Model for Evaluation The model used for evaluation is the single degree of freedom lumped mass mo...
Model for Evaluation The model used for evaluation is the single degree of freedom lumped mass model defined by second order differential equation with constant coefficients. This model is shown in Figure 1. x(t)m m f(t) Figure 1 - Single Degree of Freedom Model The equation of motion describing this system can easily be shown to be md-x + cdx + kx = f(t) dt dt where m is the mass, c is the damping and k is the stiffness...
2) A single degree of freedom system is excited by sinusoidal force. Determine the damping ratio of the system if the amplitude of displacement at resonance is 2 in, the exciting frequency is one- tenth of the natural frequency and the amplitude of displacement at resonance is 0.2 in a) 0.25 Hz b) 0.5 Hz c) 0.0025 Hz d) 005 Hz
2) A single degree of freedom system is excited by sinusoidal force. Determine the damping ratio of the system...
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...
Consider the single degree-of-freedom (DOF) dynamic system whose EOM is shown below: a. Find the natural frequency, damping ratio, and stiffness. b. Find the complete response when the initial conditions are y(0) 0, (0)-1 c. Compare the answers from mathematical software (eg. Matlab or Mathematica). Plot the responses from 0 to 10 seconds (both displacement and velocity) with the software. Append the software codes.
13. Briefly describe how a two degree of freedom system can be made to vibrate in one of its pure modes. sャ 2. (a) Sketch the amplitude ratio and phase angle for damping of 0.01 and 0.3, and indicate the peak amplitude values. Name the axes with correct numerica (b) Compare this amplitude diagram with a similar one that corresponds to base excitation, emphasizing t a single degree of freedom system subjected to harmonic force with phasizing the differences (15)...
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...
An automobile is considered as a system consisting of a
mass-spring of single degree of freedom and dampener that makes
vibration movement in the vertical direction. The car is driven on
a road that its surface is sinusoidally changing as shown in the
figure. The distance between the highest point and the lowest point
on the road surface is 0.2 m, and the distance between two
consecutive peaks along the road is 35 m. If the natural frequency
of the...
NOTE: this is base excitation not
force vibration.
1: For the single degree of freedom system driven by a harmonic base motion we discussed in the class. The governing equation is given by mž + ci + kx = cy + ky Where y(t) = Y sin wt and w is the driving (excitation) frequency. Given the initial conditions are x(0) = x, and (0) = v.. Combine the homogeneous and particular solutions and satisfy the initial conditions to obtain...
Model for Evaluation The model used for evaluation is the single degree of freedom lumped mass model defined by second order differential equation with constant coefficients. This model is shown in Figure 1. x(t)m m f(t) Figure 1 - Single Degree of Freedom Model The equation of motion describing this system can easily be shown to be md-x + cdx + kx = f(t) dt dt where m is the mass, c is the damping and k is the stiffness...
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