The equation of motion of a spring-mass-damper system, with a softening-type spring, is given by (in SI

Question:

The equation of motion of a spring-mass-damper system, with a softening-type spring, is given by (in SI units)

\[100 \ddot{x}+500 \dot{x}+10,000 x-400 x^{3}=0\]

a. Determine the static equilibrium position of the system.

b. Derive the linearized equation of motion for small displacements \((x)\) about the static equilibrium position.

c. Find the natural frequency of vibration of the system for small displacements.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question

Mechanical Vibrations

ISBN: 9780134361925

6th Edition

Authors: Singiresu S Rao

Question Posted: