The effect of kinematical non-linearities on the vibration frequencies of a damped string

DOI10.1007/BF01176634zbMath0401.70022MaRDI QIDQ1255341

J. C. Arya

Publication date: 1978

Published in: Acta Mechanica (Search for Journal in Brave)

zbMATH Keywords

Asymptotic ExpansionsLongitudinal and Transversal ModesPhase FunctionVibration of a Damped String

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Nonlinear dynamics in mechanics (70K99) Second-order hyperbolic equations (35L10)

Related Items

Damped oscillating systems modeled by hyperbolic differential equations with slowly varying coefficients

Cites Work

• Second order hyperbolic equations with small non-linearities in the case of internal resonance
• Monofrequent oscillations in mechanical systems governed by second order hyperbolic differential equations with small non-linearities
• Asymptotic solutions of partial differential equations with damping and delay
• Introduction to Non-Linear Mechanics. (AM-11)
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