Quasi-periodic aeroelastic response analysis of an airfoil with external store by incremental harmonic balance method

G Liu, ZR Lv, JK Liu, YM Chen - International Journal of Non-Linear …, 2018 - Elsevier
This paper presents an investigation on the nonlinear aeroelastic system of an airfoil with
external store by incremental harmonic balance (IHB) method. Besides solving limit cycle …

A precise calculation of bifurcation points for periodic solution in nonlinear dynamical systems

YM Chen, JK Liu - Applied Mathematics and Computation, 2016 - Elsevier
Calculations and analysis on bifurcations of periodic solutions has played a pivotal role in
nonlinear dynamics researches. This paper presents an efficient and precise approach …

Improving convergence of incremental harmonic balance method using homotopy analysis method

Y Chen, J Liu - Acta Mechanica Sinica, 2009 - Springer
We have deduced an iteration scheme in the incremental harmonic balance (IHB) method
using the harmonic balance plus the Newton-Raphson method. Since the convergence of …

Piecewise-linearized methods for initial-value problems with oscillating solutions

JI Ramos - Applied mathematics and computation, 2006 - Elsevier
Two piecewise-linearized methods for the numerical solution of nonlinear second-order
differential equations which contain the first-order derivative are presented. These methods …

Determination of periodic orbits of nonlinear oscillators by means of piecewise-linearization methods

JI Ramos - Chaos, Solitons & Fractals, 2006 - Elsevier
An approximate method based on piecewise linearization is developed for the determination
of periodic orbits of nonlinear oscillators. The method is based on Taylor series expansions …

Toward frequency-domain modeling of mode locking in semiconductor lasers

P Kreuter, B Witzigmann… - IEEE Journal of Selected …, 2011 - ieeexplore.ieee.org
In this paper, a frequency-domain harmonic balance method is developed for solving the
Maxwell-Bloch equations or simplified versions thereof for semiconductor lasers. The …

Experiment and formulations for the dynamic characteristics of jointed structures

R Liu, J Zhang, H Guo, Z Deng - Advances in Mechanical …, 2013 - journals.sagepub.com
Clearance joints significantly affect the dynamic properties of deployable structures (DSs).
This paper presents a spring-mass model with clearance for the study of the axial stiffness of …

Спектры максимальных реакций экипажей поездов на землетрясения

ЕА Пестрякова, ЕН Курбацкий, ЧТ Нгуен - Транспортные сооружения, 2019 - elibrary.ru
В настоящее время интенсивно развивается строительство железных дорог,
предназначенных для пропуска высокоскоростного движения. Преодоление водных …

[引用][C] 基于增量谐波平衡法的含索铰可折展桁架非线性动力学特性

张静, 刘荣强, 郭宏伟, 邓宗全 - 振动与冲击, 2014

[引用][C] Research Article Experiment and Formulations for the Dynamic Characteristics of Jointed Structures

R Liu, J Zhang, H Guo, Z Deng