Closed Form Solutions for Nonlinear Oscillators Under Discontinuous and Impulsive Periodic Excitations

Closed Form Solutions for Nonlinear Oscillators Under Discontinuous and Impulsive Periodic Excitations

Periodic responses of linear and nonlinear systems under discontinuous and impulsive excitations are analyzed with non-smooth temporal transformations incorporating temporal symmetries of periodic processes. The related analytical manipulations are illustrated on a strongly nonlinear oscillator whos...

Full description

Bibliographic Details
Main Author:	Valery Pilipchuk
Format:	Article
Language:	English
Published:	MDPI AG 2019-11-01
Series:	Symmetry
Subjects:	strongly nonlinear oscillators discontinuous loading exact solutions
Online Access:	https://www.mdpi.com/2073-8994/11/11/1420

Similar Items

Discontinuous Dynamic Analysis of a Class of 2-DOF Oscillators With Strong Nonlinearity Under a Periodic Excitation
by: Jinjun Fan, et al.
Published: (2021-01-01)

Energy-Based Criterion for Testing the Nonlinear Response Strength of Strong Nonlinear Oscillators
by: Akuro Big-Alabo
Published: (2021-04-01)

Exact Closed-Form Solution for the Oscillator with a New Type of Mixed Nonlinear Restitution Force
by: Livija Cveticanin
Published: (2023-01-01)

Analytical solution of strongly nonlinear Duffing oscillators
by: A.M. El-Naggar, et al.
Published: (2016-06-01)

Simulating Nonlinear Oscillations of Viscoelastically Damped Mechanical Systems
by: M. D. Monsia, et al.
Published: (2014-12-01)

Non-existence of periodic solutions to non-autonomous second-order differential equation with discontinuous nonlinearity
by: Alexander M. Kamachkin, et al.
Published: (2016-01-01)

A new reliable analytical solution for strongly nonlinear oscillator with cubic and harmonic restoring force
by: Md. Alal Hosen, et al.
Published: (2015-01-01)

Solution to second-order differential equations with discontinuous right-hand side
by: Alexander M. Kamachkin, et al.
Published: (2014-10-01)

Evolution of weak discontinuity in a van der Waals gas
by: B. Bira, et al.
Published: (2015-09-01)

ANALYTICAL SOLUTION OF THE FREQUENCY OF THE LOAD OSCILLATION AT AN ARBITRARY GIRDER NODE IN THE SYSTEM MAPLE
by: Mikhail N. Kirsanov, et al.
Published: (2018-12-01)

The topological degree methods for the fractional p(⋅)-Laplacian problems with discontinuous nonlinearities
by: Hasnae El Hammar, et al.
Published: (2022-04-01)

Oscillations with one degree of freedom and discontinuous energy
by: Miguel V. S. Frasson, et al.
Published: (2015-10-01)

On the character of nonlinearity discontinuities in eigenvalue problems for elliptic equations
by: Dmitriy K Potapov
Published: (2012-09-01)

Nonlinear oscillations/
by: 384011 Minorsky, Nicholas
Published: (1974)

Multidimensional Exact Solutions of a System of Nonlinear Boussinesq Type Equations
by: A.A. Kosov, et al.
Published: (2019-12-01)

New Closed-Form Solution for Quadratic Damped and Forced Nonlinear Oscillator with Position-Dependent Mass: Application in Grafted Skin Modeling
by: Livija Cveticanin, et al.
Published: (2022-07-01)

On number of solutions in eigenvalue problems for elliptic equations with discontinuous nonlinearities
by: Dmitriy K Potapov
Published: (2012-03-01)

Influence of Impulse Disturbances on Oscillations of Nonlinearly Elastic Bodies
by: Andriy Andrukhiv, et al.
Published: (2021-04-01)

Nonlinear oscillations in biology /
by: Hoppensteadt, F. C.
Published: (1979)

Controllability and periodic solutions of nonlinear wave equations
by: Bui An Ton
Published: (2017-04-01)

A note on the Kuramoto-Sivashinsky equation with discontinuity
by: Lorenzo D'Ambrosio, et al.
Published: (2021-03-01)

Periodic Solutions in Slowly Varying Discontinuous Differential Equations: The Generic Case
by: Flaviano Battelli, et al.
Published: (2021-10-01)

An application of the dual variational principle to a Hamiltonian system with discontinuous nonlinearities
by: Claudianor Oliveira Alves, et al.
Published: (2004-03-01)

Exact solutions in radiation reaction and the radiation-free direction
by: Robin Ekman, et al.
Published: (2021-01-01)

Nonlinear autonomous oscillations : analytical theory/
by: 427126 Urabe, Minoru
Published: (1967)

Model Problems on Oscillations of Mechanical and Biological Membranes
by: Yury Kostikov, et al.
Published: (2023-10-01)

Nonlinear almost periodic oscillations/
by: Krasnosel'skii M. A. (Mark Aleksandrovich), 1920-, et al.
Published: (1973)

Nonlinear oscillations/
by: 184624 Ali Hasan Nayfeh, et al.
Published: (1979)

Existence of infinitely many symmetric solutions to perturbed elliptic equations with discontinuous nonlinearities in R^N
by: Shapour Heidarkhani, et al.
Published: (2015-05-01)

Nonlinear Stabilization Controller for the Boost Converter with a Constant Power Load in Both Continuous and Discontinuous Conduction Modes
by: Juan Gerardo Parada Salado, et al.
Published: (2021-05-01)

An introduction to nonlinear oscillations /
by: 426713 Mickens, Ronald E.
Published: (1981)

New analytical solutions for the coupled nonlinear Maccari’s system
by: Ahmad Neirameh
Published: (2016-09-01)

Global stability of SIR models with nonlinear incidence and discontinuous treatment
by: Mei Yang, et al.
Published: (2015-12-01)

Nonlinear oscillations in mechanical engineering /
by: Fidlin, A
Published: (2006)

Effect of side walls on the motion of a viscous fluid induced by an infinite plate that applies an oscillating shear stress to the fluid
by: Fetecau Constantin, et al.
Published: (2011-06-01)

Interval criteria for oscillation of second-order impulsive differential equation with mixed nonlinearities
by: Velu Muthulakshmi, et al.
Published: (2011-03-01)

Exact solutions for bright and dark solitons in spatially inhomogeneous nonlinearity
by: Xie Qiongtao
Published: (2014-12-01)

Some new integral inequalities with mixed nonlinearities for discontinuous functions
by: Haidong Liu
Published: (2018-01-01)

Applied methods in the theory of nonlinear oscillations /
by: 430715 Starzhinskii, V. M., et al.
Published: (1980)

Nonlinear oscillations and waves in dynamical systems /
by: 445017 Landa, P. S.
Published: (1996)