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Numerical analysis of strongly nonlinear oscillation systems using He’s max-min method
H. BABAZADEH, G. DOMAIRRY, A. BARARI, R. AZAMI, A. G. DAVODI
《机械工程前沿(英文)》 2011年 第6卷 第4期 页码 435-441 doi: 10.1007/s11465-011-0243-x
Nonlinear functions are crucial points and terms in engineering problems. Actual and physical problems can be solved by solving and processing such functions. Thus, most scientists and engineers focus on solving these equations. This paper presents a novel method called the max-min method for presenting an accurate approximate analytical solution to strong nonlinear oscillators. It can solve many linear or nonlinear differential equations without the tangible restriction of sensitivity to the degree of the nonlinear term. It is also quite convenient due to the reduction in the size of calculations. The algorithm suggests a promising approach and is systematically illustrated step by step.
关键词: min-max method nonlinear oscillation duffing equation mathematical pendulum He’s energy balance method
Parametric oscillation of cables and aerodynamic effect
Yong XIA, Jing ZHANG, Youlin XU, Yozo FUJINO,
《结构与土木工程前沿(英文)》 2010年 第4卷 第3期 页码 321-325 doi: 10.1007/s11709-010-0028-z
关键词: parametric vibration cables cable-stayed bridge nonlinear vibration
龙运佳
《中国工程科学》 2001年 第3卷 第2期 页码 10-15
世界是非线性的,线性只是其近似描述,混沌的发现表明:某些确定性非线性系统具有内在的随机行为。事实上,以往20年,无所不在的混沌现象几乎在每个学科都有所报道,如数学、物理学、化学,甚至社会科学。但理论研究学者的主要兴趣在于探究混沌的本质。与此同时,混沌的实际利用在许多工程领域受到重视,如信息工程、系统工程、医药工程、农业工程、电气工程、生物工程、机械工程、土木工程等。混沌工程学是一门新的研究混沌实际利用及其基本理论的非线性工程科学。文章对现代混沌工程学的定义、对象、概念、方法、理论与应用加以总结,并介绍其近来的进展及作者的工作。混沌工程学在国民经济与国防建设中研究的热点是:混沌分析技术,混沌控制技术与混沌生成技术。
马景兰,王伟,万京生,张永丽
《中国工程科学》 2009年 第11卷 第8期 页码 93-96
低频振荡是影响电力系统稳定运行的一个重要方面。阐述了低频振荡产生的机理和分析方法,利用Hopf分歧理论,针对一个四阶模型的单机无穷大系统,分析了在临界点附近时可能出现的非线性奇异现象。研究表明:由于分歧的存在,导致系统稳定性在临界点附近出现奇异,从而影响了电力系统的稳定域。
《环境科学与工程前沿(英文)》 2022年 第16卷 第2期 doi: 10.1007/s11783-021-1460-0
•Strong ENSO influence on AOD is found in southern China region.
关键词: El Niño–Southern Oscillation Aerosol concentration Aerosol particle size Contribution separation Decadal trend Southern China
New nonlinear stiffness actuator with predefined torque‒deflection profile
《机械工程前沿(英文)》 2023年 第18卷 第1期 doi: 10.1007/s11465-022-0721-3
关键词: compliant actuator nonlinear stiffness actuator nonlinear spring predefined torque−deflection profile
Mean wind load induced incompatibility in nonlinear aeroelastic simulations of bridge spans
Zhitian ZHANG
《结构与土木工程前沿(英文)》 2019年 第13卷 第3期 页码 605-617 doi: 10.1007/s11709-018-0499-x
关键词: bridge aerodynamics nonlinear aeroelastic model Pseudo-steady mean wind loads
General expression for linear and nonlinear time series models
Ren HUANG, Feiyun XU, Ruwen CHEN
《机械工程前沿(英文)》 2009年 第4卷 第1期 页码 15-24 doi: 10.1007/s11465-009-0015-z
关键词: linear and nonlinear autoregressive model system identification time series analysis
Evaluation of transmissibility for a class of nonlinear passive vibration isolators
Z. K. PENG, Z. Q. LANG, G. MENG
《机械工程前沿(英文)》 2012年 第7卷 第4期 页码 401-409 doi: 10.1007/s11465-012-0349-9
In this study, the concept of Output Frequency Response Functions (OFRFs) is applied to represent the transmissibility of nonlinear isolators in frequency domain. With the OFRFs estimated from numerical simulation responses, an explicit analytical relationship between the transmissibility and the nonlinear characteristic parameters is derived for a wide class of nonlinear isolators that have nonlinear anti-symmetric damping characteristics and a comprehensive pattern about how the nonlinear damping characteristic parameters might affect the force and displacement transmissibility is built for the vibration isolators. The results reveal that it is reasonable to analyze the force and displacement transmissibility of the nonlinear isolators by simply investigating the fundamental harmonic components of the force and displacement outputs of the nonlinear isolators, and the introduction of a nonlinear anti-symmetric damping into vibration isolators can significantly suppress both the force and displacement transmissibility over the resonant frequency region, but has almost no effect on the transmissibility at non-resonant regions. These conclusions are of significant importance in the analysis and design of the nonlinear vibration isolators with nonlinear anti-symmetric damping.
关键词: nonlinear vibration volterra series Output Frequency Response Functions (OFRFs) nonlinear damping vibration isolator
Numerical analysis of nonlinear dynamic behavior of earth dams
Babak EBRAHIMIAN
《结构与土木工程前沿(英文)》 2011年 第5卷 第1期 页码 24-40 doi: 10.1007/s11709-010-0082-6
关键词: earth dam numerical nonlinear response dynamic analysis earthquake dam height
Jun WANG
《机械工程前沿(英文)》 2010年 第5卷 第1期 页码 19-32 doi: 10.1007/s11465-009-0082-1
关键词: abrasive waterjet engineering ceramics depth of cut cutting performance nozzle oscillation machining
Velocity gradient elasticity for nonlinear vibration of carbon nanotube resonators
Hamid M. SEDIGHI, Hassen M. OUAKAD
《结构与土木工程前沿(英文)》 2020年 第14卷 第6期 页码 1520-1530 doi: 10.1007/s11709-020-0672-x
关键词: velocity gradient elasticity theory nanotube resonators differential-quadrature method nonlinear vibration
Analytical approach to robust design of nonlinear mechanical systems
Jian ZHANG, Nengsheng BAO, Guojun ZHANG, Peihua GU
《机械工程前沿(英文)》 2009年 第4卷 第2期 页码 203-214 doi: 10.1007/s11465-009-0022-0
Iterative finite element model of nonlinear viscoplastic analyses for blended granular porous media
WU Yuching, ZHU Cimian
《结构与土木工程前沿(英文)》 2007年 第1卷 第4期 页码 464-473 doi: 10.1007/s11709-007-0063-6
关键词: nonlinear viscoplastic iterative behavior multiple-material
Vibration suppression of speed-controlled robots with nonlinear control
Paolo BOSCARIOL,Alessandro GASPARETTO
《机械工程前沿(英文)》 2016年 第11卷 第2期 页码 204-212 doi: 10.1007/s11465-016-0380-3
In this paper, a simple nonlinear control strategy for the simultaneous position tracking and vibration damping of robots is presented. The control is developed for devices actuated by speed-controlled servo drives. The conditions for the asymptotic stability of the closed-loop system are derived by ensuring its passivity. The capability of achieving improved trajectory tracking and vibration suppression is shown through experimental tests conducted on a three-axis Cartesian robot. The control is aimed to be compatible with most industrial applications given the simplicity of implementation, the reduced computational requirements, and the use of joint position as the only measured signal.
关键词: industrial robot nonlinear control vibration damping model-free control motion control
标题 作者 时间 类型 操作
Numerical analysis of strongly nonlinear oscillation systems using He’s max-min method
H. BABAZADEH, G. DOMAIRRY, A. BARARI, R. AZAMI, A. G. DAVODI
期刊论文
Parametric oscillation of cables and aerodynamic effect
Yong XIA, Jing ZHANG, Youlin XU, Yozo FUJINO,
期刊论文
Evaluation of the influence of El Niño–Southern Oscillation on air quality in southern China from long-term
期刊论文
Mean wind load induced incompatibility in nonlinear aeroelastic simulations of bridge spans
Zhitian ZHANG
期刊论文
General expression for linear and nonlinear time series models
Ren HUANG, Feiyun XU, Ruwen CHEN
期刊论文
Evaluation of transmissibility for a class of nonlinear passive vibration isolators
Z. K. PENG, Z. Q. LANG, G. MENG
期刊论文
Depth of cut models for multipass abrasive waterjet cutting of alumina ceramics with nozzle oscillation
Jun WANG
期刊论文
Velocity gradient elasticity for nonlinear vibration of carbon nanotube resonators
Hamid M. SEDIGHI, Hassen M. OUAKAD
期刊论文
Analytical approach to robust design of nonlinear mechanical systems
Jian ZHANG, Nengsheng BAO, Guojun ZHANG, Peihua GU
期刊论文
Iterative finite element model of nonlinear viscoplastic analyses for blended granular porous media
WU Yuching, ZHU Cimian
期刊论文