Consider the mass (m) suspended by a nonlinear hardening spring as shown in Figure 2.34. The spring
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Consider the mass \(m\) suspended by a nonlinear hardening spring as shown in Figure 2.34. The spring obeys \(F=k x^{3}\) and has an original length of \(L\). The coordinate \(x\) is the stretch of the spring, and \(y\) is the displacement of the mass measured from its static equilibrium position. Derive the linearized equation of motion about its equilibrium position in terms of \(x\) and also in terms of \(y\). Find the natural frequency of this system.
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Related Book For
Mechanical Vibration Analysis, Uncertainties, And Control
ISBN: 9781498753012
4th Edition
Authors: Haym Benaroya, Mark L Nagurka, Seon Mi Han
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