Results 51 to 60 of about 176,684 (202)
Multi-level residue harmonic balance method for nonlinear vibration of the beam
Journal of Low Frequency Noise, Vibration and Active Control, 2022 This study presents the nonlinear vibration and chaotic response of a beam subjected to harmonic excitation. The multi-level residue harmonic balance method is applied to solve the geometrically cubic nonlinear vibration of the simply supported beam. The
Abu SMZ Hasan, M S Rahman
doaj +1 more source
Mathematics, 2021 This is the first on a series of articles that deal with nonlinear dynamical systems under oscillatory input that may exhibit harmonic and non-harmonic frequencies and possibly complex behavior in the form of chaos.
Elena Hernandez +3 more
doaj +1 more source
A Mixed Shooting – Harmonic Balance Method for Unilaterally Constrained Mechanical Systems
Archive of Mechanical Engineering, 2016 In this paper we present a mixed shooting – harmonic balance method for large linear mechanical systems on which local nonlinearities are imposed. The standard harmonic balance method (HBM), which approximates the periodic solution in frequency domain ...
Schreyer Frederic, Leine Remco I.
doaj +1 more source
International Journal of Turbomachinery, Propulsion and Power, 2021 Unsteady pressure fluctuations measured by fast-response pressure transducers mounted in a low-pressure turbine cascade are compared to unsteady simulation results. Three differing simulation approaches are considered, one time-integration method and two
Jan Philipp Heners +5 more
doaj +1 more source
, 2007 A general numerical technique is proposed for the assessment of the stability of periodic solutions and the determination of bifurcations for limit cycles in autonomous nonlinear systems represented by ordinary differential equations in the differential ...
Bai +16 more
core +1 more source
Shock and Vibration, 2021 This study develops a modified elliptic harmonic balance method (EHBM) and uses it to solve the force and displacement transmissibility of a two-stage geometrically nonlinear vibration isolation system.
Weilei Wu, Bin Tang
doaj +1 more source
Frequency-Domain Analysis of Linear Time-Periodic Systems [PDF]
, 2004 In this paper, we study convergence of truncated representations of the frequency-response operator of a linear time-periodic system. The frequency-response operator is frequently called the harmonic transfer function. We introduce the concepts of input,
Bernhardsson, Bo +2 more
core +1 more source
Scientific Reports, 2022 Using the harmonic balance method to investigate the nonlinear dynamic behaviors pertaining to sub-harmonic responses is difficult compared with that of super-harmonic cases because of the limitations of the HBM.
Jong-Yun Yoon, Byeongil Kim
doaj +1 more source
An efficient nonlinear circuit simulation technique [PDF]
, 2004 This paper proposes a new and efficient approach for the analysis and simulation of circuits subject to input signals with widely separated rates of variation.
Brennan, Conor +2 more
core +1 more source
Results in Physics, 2017 A modified energy balance method (EBM) has been presented to obtain higher-order approximate periodic solutions from the integral expression (i.e., first order differential equation) of some nonlinear oscillators.
M. Helal Uddin Molla, M.S. Alam
doaj +1 more source