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Compute the response of the system in Figure P2.97 for the case that the damping is linear viscous, the spring is a nonlinear soft spring of the form k(x) = kx - k₁x³ and the system is subject to a harmonic excitation of 300 N at a frequency equal to the natural frequency (w = wn) and initial conditions of x = 0.01 m and vo= 0.1 m/s. The system has a mass of 100 kg, a damping coefficient of 15 kg/s, and a linear stiffness coefficient of 2000 N/m. The value of k1 is taken to be 100 N/m³. Compute the solution and compare it to the hard spring solution (k(x) = kx + k₁x³).

Compute the response of the system in Figure P2.97 for the case that the damping is linear viscous, the spring is a nonlinear soft spring of the form k(x) = kx - k₁x³ and the system is subject to a harmonic excitation of 300 N at a frequency equal to the natural frequency (w = wn) and initial conditions of x = 0.01 m and vo= 0.1 m/s. The system has a mass of 100 kg, a damping coefficient of 15 kg/s, and a linear stiffness coefficient of 2000 N/m. The value of k1 is taken to be 100 N/m³. Compute the solution and compare it to the hard spring solution (k(x) = kx + k₁x³).

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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F(t) = 300N   

 

 

 

Compute the response of the system in Figure P2.97 for the case that the damping is linear viscous, the spring is a nonlinear soft spring of the form k(x) = kx - k₁x³ and the system is subject to a harmonic excitation of 300 N at a frequency equal to the natural frequency (w = wn) and initial conditions of xp = 0.01 m and vo= 0.1 m/s. The system has a mass of 100 kg, a damping coefficient of 15 kg/s, and a linear stiffness coefficient of 2000 N/m. The value of k1 is taken to be 100 N/m³. Compute the solution and compare it to the hard spring solution (k(x) = kx + k₁x³). ►x (1) m Figure P2.97 F(t)
Transcribed Image Text:Compute the response of the system in Figure P2.97 for the case that the damping is linear viscous, the spring is a nonlinear soft spring of the form k(x) = kx - k₁x³ and the system is subject to a harmonic excitation of 300 N at a frequency equal to the natural frequency (w = wn) and initial conditions of xp = 0.01 m and vo= 0.1 m/s. The system has a mass of 100 kg, a damping coefficient of 15 kg/s, and a linear stiffness coefficient of 2000 N/m. The value of k1 is taken to be 100 N/m³. Compute the solution and compare it to the hard spring solution (k(x) = kx + k₁x³). ►x (1) m Figure P2.97 F(t)
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