Nonlinear oscillations of systems with hysteresis (Q799399)
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scientific article; zbMATH DE number 3874690
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nonlinear oscillations of systems with hysteresis |
scientific article; zbMATH DE number 3874690 |
Statements
Nonlinear oscillations of systems with hysteresis (English)
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1983
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The author finds conditions for \(x(t)=x^*\sin (\nu t-\theta)\) to be an approximate solution of the oscillation equation with hysteresis \(\ddot x+kx\pm b(x^{*2}-x^ 2)=f_ 0\sin \nu t,\) with the plus-sign of \(\dot x>0\), and the minus-sign if \(\dot x<0\). The results are interpreted using energy balance.
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oscillation equation
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hysteresis
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energy balance
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