Analytical and numerical approaches to characteristics of linear and nonlinear vibratory systems under piecewise discontinuous disturbances.

DOI10.1016/S1007-5704(02)00137-5zbMath1140.74457OpenAlexW2019449051MaRDI QIDQ1434754

S. Rajasekar

Publication date: 12 July 2004

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1007-5704(02)00137-5

zbMATH Keywords

Numerical simulationOscillationDiscontinuous exertionsNonlinear-dynamic systemsPiecewise constant arguments

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Vibrations in dynamical problems in solid mechanics (74H45)

Related Items

Piecewise-linearized methods for single degree-of-freedom problems ⋮ Forced oscillators with non-linear spring: a simple analytical approach ⋮ Stability analysis of partial differential equations with piecewise constant arguments ⋮ Stability analysis of parabolic partial differential equations with piecewise continuous arguments ⋮ Stability of numerical solution for partial differential equations with piecewise constant arguments ⋮ Stability analysis of Runge–Kutta methods for differential equations with piecewise continuous arguments of mixed type ⋮ STABILITY AND BIFURCATION IN A LOGISTIC EQUATION WITH PIECEWISE CONSTANT ARGUMENTS ⋮ One-parameter Galerkin finite element methods for neutral reaction-diffusion equations with piecewise continuous arguments

Cites Work

• A quantitative stability and bifurcation analysis of the generalized Duffing oscillator with strong nonlinearity
• Numerical simulations of periodic and chaotic responses in a stable Duffing system
• On piecewise constant delay differential equations
• An analytical and numerical method for solving linear and nonlinear vibration problems
• An Equation Alternately of Retarded and Advanced Type
• An approximate solution to a strongly non-linear, second-order, differential equation