Construction of approximate analytical solutions to strongly nonlinear damped oscillators
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Publication:363635
DOI10.1007/S00419-010-0465-0zbMath1271.70045OpenAlexW2009806898MaRDI QIDQ363635
Publication date: 3 September 2013
Published in: Archive of Applied Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00419-010-0465-0
linearizationanalytical approximationsstrong nonlinearityharmonic balancedamped oscillatorstransient responses
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Cites Work
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- Accurate analytical approximate solutions to general strong nonlinear oscillators
- Large amplitude non-linear oscillations of a general conservative system
- Accurate higher-order analytical approximate solutions to nonconservative nonlinear oscillators and application to van der Pol damped oscillators
- An analytical approximate technique for a class of strongly non-linear oscillators
- On the analytical approximation of damped oscillations of autonomous single degree of freedom oscillators
- A kinetics model of abrin binding in a virus transformed lymphocyte cell culture
- A modified Lindstedt-Poincaré method for certain strongly non-linear oscillators
- Averaging method for the solution of non-linear differential equations with periodic non-harmonic solutions
- Presenting a new method for the solution of nonlinear problems
- Harmonic balance based averaging: Approximate realizations of an asymptotic technique
- Multiple scales via Galerkin projections: Approximate asymptotics for strongly nonlinear oscillations
- Improvement of a Krylov-Bogoliubov method that uses Jacobi elliptic functions
- A New Approach to Nonlinear Oscillations
- Amplitude Incremental Variational Principle for Nonlinear Vibration of Elastic Systems
- On the harmonic balance method for mixed-parity non-linear oscillators
- A Perturbation Technique that Works Even When the Non-Linearity is Not Small
- Some Remarks on the Harmonic Balance Method for Mixed-Parity Non-Linear Oscillations
- An extension to the method of Kryloff and Bogoliuboff†
- A generalization of the method of harmonic balance
- A method for obtaining approximate analytic periods for a class of nonlinear oscillators
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