Recent developments of some asymptotic methods and their applications for nonlinear vibration equations in engineering problems: A review
M Bayat, I Pakar, G Domairry - Latin American Journal of Solids and …, 2012 - SciELO Brasil
This review features a survey of some recent developments in asymptotic techniques and
new developments, which are valid not only for weakly nonlinear equations, but also for …
new developments, which are valid not only for weakly nonlinear equations, but also for …
Nonlinear oscillators dynamics using optimal and modified homotopy perturbation method
This study investigates the several strongly nonlinear oscillators (Van der Pol, Duffing and
Rayleigh) for which we have applied the most powerful and advanced optimal semi …
Rayleigh) for which we have applied the most powerful and advanced optimal semi …
Power series approach to nonlinear oscillators
In this article, we introduce a nonlinear oscillator equation containing two strong linear
terms. An approximate solution was obtained using power series approach. Furthermore, by …
terms. An approximate solution was obtained using power series approach. Furthermore, by …
Nonlinear analysis of two-degree of freedom system with nonlinear springs
In this paper, an analytic solving procedure for a two degree of freedom oscillatory system
(2DOF) is considered. Vibration of the two-mass system is mathematically modeled with two …
(2DOF) is considered. Vibration of the two-mass system is mathematically modeled with two …
Time-domain minimum residual method combined with energy balance for nonlinear conservative systems
This paper presents a new semi-analytical method that combines the time-domain minimum
residual method with energy balance for nonlinear conservative systems. Due to work done …
residual method with energy balance for nonlinear conservative systems. Due to work done …
[HTML][HTML] Approximate analysis of two-mass–spring systems and buckling of a column
Max–Min Approach (MMA) is applied to obtain an approximate solution of three practical
cases in terms of a nonlinear oscillation system. After finding maximal and minimal solution …
cases in terms of a nonlinear oscillation system. After finding maximal and minimal solution …
Analysis of a bio-inspired multistage nonlinear vibration isolator: an elliptic harmonic balance approach
Recently, studies on isolation of low-and ultra-low-frequency micro-vibrations have been
gaining attention to protect sensitive components, improve operating comfort, and enhance …
gaining attention to protect sensitive components, improve operating comfort, and enhance …
Nonlinear dynamics of two degree of freedom systems with linear and nonlinear stiffnesses
M Bayat, I Pakar - Earthquake Engineering and Engineering Vibration, 2013 - Springer
In this study, a new analytical approach is developed to analyze the free nonlinear vibration
of conservative two-degree-of-freedom (TDOF) systems. The mathematical models of these …
of conservative two-degree-of-freedom (TDOF) systems. The mathematical models of these …
Analytical evaluation of the nonlinear vibration of coupled oscillator systems
We consider periodic solutions for nonlinear free vibration of conservative, coupled mass-
spring systems with linear and nonlinear stiffnesses. Two practical cases of these systems …
spring systems with linear and nonlinear stiffnesses. Two practical cases of these systems …
Research on static and dynamic characteristics of shear spring of the vibrating flip-flow screen
G Zhao, X Wang, C Yu, S Liu, J Zhou, G Zhu - Symmetry, 2020 - mdpi.com
The vibrating flip-flow screen (VFFS) is a high-efficiency device currently used for deep
screening of moist fine-grained materials. During VFFS operation, the normal operation of …
screening of moist fine-grained materials. During VFFS operation, the normal operation of …