PERTURBATION_METHOD

作品数:174被引量:228H指数:6
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相关作者:黄怡筠李云飞郑成荣范菊王丽娜更多>>
相关机构:中国船舶工业集团公司第708研究所首都师范大学上海交通大学北京理工大学更多>>
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相关基金:国家自然科学基金国家重点基础研究发展计划国家教育部博士点基金广东省自然科学基金更多>>
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Contact vibration analysis of the functionally graded material coated half-space under a rigid spherical punch
《Applied Mathematics and Mechanics(English Edition)》2022年第8期1187-1202,共16页Xin LYU Liaoliang KE Jiayong TIAN Jie SU 
Project supported by the National Natural Science Foundation of China(Nos.11725207,12021002,and 12072226)。
This paper studies the contact vibration problem of an elastic half-space coated with functionally graded materials(FGMs)subject to a rigid spherical punch.A static force superimposing a dynamic time-harmonic force ac...
关键词:contact vibration functionally graded material(FGM) spherical punch perturbation method 
Regular perturbation solution of Couette flow(non-Newtonian)between two parallel porous plates: a numerical analysis with irreversibility被引量:1
《Applied Mathematics and Mechanics(English Edition)》2021年第1期127-142,共16页M.NAZEER M.I.KHAN S.KADRY Yuming CHU F.AHMAD W.ALI M.IRFAN M.SHAHEEN 
Project supported by the National Natural Science Foundation of China(Nos.11971142,11871202,61673169,11701176,11626101,and 11601485)。
The unavailability of wasted energy due to the irreversibility in the process is called the entropy generation.An irreversible process is a process in which the entropy of the system is increased.The second law of the...
关键词:Couette flow Eyring-Powell fluid entropy generation perturbation method Bejan number 
Bifurcation and dynamic behavior analysis of a rotating cantilever plate in subsonic airflow被引量:2
《Applied Mathematics and Mechanics(English Edition)》2020年第12期1861-1880,共20页Li MA Minghui YAO Wei ZHANG Dongxing CAO 
Project supported by the National Natural Science Foundation of China(Nos.11372015,11832002,11290152,11427801,and 11972051)。
Turbo-machineries,as key components,have wide applications in civil,aerospace,and mechanical engineering.By calculating natural frequencies and dynamical deformations,we have explained the rationality of the series fo...
关键词:subsonic aerodynamic force asymptotic perturbation method bifurcation and chaos 
Stability of triple diffusive convection in a viscoelastic fluid-saturated porous layer被引量:1
《Applied Mathematics and Mechanics(English Edition)》2018年第10期1385-1410,共26页K.R.RAGHUNATHA I.S.SHIVAKUMARA 
supported by the Innovation in Science Pursuit for the Inspired Research(INSPIRE)Program(No.DST/INSPIRE Fellowship/[IF 150253])
The triple diffusive convection in an Oldroyd-B fluid-saturated porous layer is investigated by performing linear and weakly nonlinear stability analyses. The condition for the onset of stationary and oscillatory is d...
关键词:Oldroyd-B fluid BIFURCATION INSTABILITY perturbation method nonlinear stability heat and mass transfer 
Interaction between compressibility and particulate suspension on peristaltically driven flow in planar channel被引量:1
《Applied Mathematics and Mechanics(English Edition)》2017年第1期137-154,共18页I.M.ELDESOKY S.I.ABDELSALAM R.M.ABUMANDOUR M.H.KAMEL K.VAFAI 
The peristaltic pumping of a viscous compressible liquid mixed with rigid spherical particles of the same size in a channel is theoretically investigated. The momentum equations for the compressible flow are solved wi...
关键词:two-phase flow peristaltic transport compressible liquid perturbation method 
Prediction of velocity distribution in straight open-channel flow with partial vegetation by singular perturbation method被引量:2
《Applied Mathematics and Mechanics(English Edition)》2016年第10期1315-1324,共10页Wenxin HUAI Suwen SONG Jie HAN Yuhong ZENG 
Project supported by the National Natural Science Foundation of China(Nos.51439007 and11372232);the Specialized Research Fund for the Doctoral Program of Higher Education(No.20130141110016)
A numerical analysis model based on two-dimensional shallow water differential equations is presented for straight open-channel flow with partial vegetation across the channel. Both the drag force acting on vegetation...
关键词:depth-averaged velocity singular perturbation secondary flow 
Perturbation solutions for asymmetric laminar flow in porous channel with expanding and contracting walls
《Applied Mathematics and Mechanics(English Edition)》2014年第2期203-220,共18页张燕 林平 司新辉 
supported by the Beijing Higher Education Young Elite Teacher Project(No.YETP0387);the Fundamental Research Funds for the Central Universities(Nos.FRF-TP-12-108A and FRF-BR13-023);the National Natural Science Foundation of China(Nos.51174028 and 11302024)
The cases of large Reynolds number and small expansion ratio for the asym- metric laminar flow through a two-dimensional porous expanding channel are considered. The Navier-Stokes equations are reduced to a nonlinear ...
关键词:singular perturbation method regular perturbation method porousexpanding channel expansion ratio 
Coupling of high order multiplication perturbation method and reduction method for variable coefcient singular perturbation problems
《Applied Mathematics and Mechanics(English Edition)》2014年第1期97-104,共8页张文志 黄培彦 
Project supported by the National Natural Science Foundation of China(Key Program)(Nos.11132004 and 51078145)
Based on the precise integration method (PIM), a coupling technique of the high order multiplication perturbation method (HOMPM) and the reduction method is proposed to solve variable coefficient singularly pertur...
关键词:high order multiplication perturbation method (HOMPM) reductionmethod variable coefficient singular perturbation problem two-point boundary valueproblem 
High order multiplication perturbation method for singular perturbation problems
《Applied Mathematics and Mechanics(English Edition)》2013年第11期1383-1392,共10页张文志 黄培彦 
supported by the National Natural Science Foundation of China(Key Program)(Nos.11132004 and 51078145)
This paper presents a high order multiplication perturbation method for sin- gularly perturbed two-point boundary value problems with the boundary layer at one end. By the theory of singular perturbations, the singula...
关键词:singular perturbation problem (SPP). high order multiplication perturba-tion method two-point boundary value problem boundary layer 
Moment Lyapunov exponent for three-dimensional system under real noise excitation
《Applied Mathematics and Mechanics(English Edition)》2013年第5期613-626,共14页李胜宏 刘先斌 
supported by the National Natural Science Foundation of China(Nos.11072107,91016022,and 11232007)
The pth moment Lyapunov exponent of a two-codimension bifurcation systern excited parametrically by a real noise is investigated. By a linear stochastic transformation, the differential operator of the system is obtai...
关键词:moment Lyapunov exponent perturbation method real noise diffusion process Fourier series 
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