In the present research, concentration is focused on dynamic response of a bilinear hysteretic oscillator with clearance, and equivalent damping and stiffness are then determined by means of asymptotic and numerical method. A variety of dynamic responses of the nonlinear system are analyzed, and som
Spectral Response of a Bilinear Oscillator
β Scribed by R.N. Miles
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 256 KB
- Volume
- 163
- Category
- Article
- ISSN
- 0022-460X
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β¦ Synopsis
An approximate analytical procedure is presented to estimate the response power spectral density of a randomly excited spring/mass/damper system having a bilinear spring. The approximate expression for the response spectrum is developed by representing the nonlinear oscillator as a linear system having a natural frequency that depends on the envelope of the random response. This approximate representation of the system leads to estimates of the response spectrum that agree extremely well with those obtained by direct numerical simulation of the governing equation.
π SIMILAR VOLUMES
Dierential equations are derived which exactly govern the evolution of the second order response moments of a single-degree-of-freedom (SDOF) bilinear hysteretic oscillator subject to stationary Gaussian white noise excitation. Then, considering cases for which response stationarity will be achieved
An oscillator with a non-linear restoring force and a small linear damping under wide-band random excitation is considered. A modified Van Der Pol transformation with a suitable amplitude dependent frequency, is used to transform the original system into a first order vector system to which the stoc