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New analytical solutions for free vibration of embedded magneto-electro-elastic cylindrical shells with step-wise thickness variations: 《Applied Mathematics and Mechanics(English Edition)》2025年第3期447-466,共20页Jufang JIA Huilin YIN Qinyu YU Jiabin SUN Xinsheng XU Zhenhuan ZHOU; Project supported by the Science and Technology Plan Joint Program of Liaoning Province of China(Natural Science Foundation-Doctoral Research Launch Project)(No.2024-BSLH-027);the Fundamental Research Funds for Undergraduate Universities of Liaoning Province of China(No.LJBKY2024033);the National Natural Science Foundation of China(No.12472064);the Natural Science Foundation of Liaoning Province of China(No.2023-MS-118)。; In recent years,magneto-electro-elastic(MEE)cylindrical shells with step-wise thicknesses have shown significant potential in the field of vibration energy harvesting.To aid the design of such energy harvesting device...; 关键词：analytical solution free vibration magneto-electro-elastic(MEE)material cylindrical shell with variable thickness symplectic method

Analytical solutions of turbulent boundary layer beneath forward-leaning waves: 《Applied Mathematics and Mechanics(English Edition)》2024年第4期695-710,共16页Yiqin XIE Jifu ZHOU Xu WANG Jinlong DUAN Yongjun LU Shouqian LI; Project supported by the National Key R&D Program of China(No.2022YFC3204303);the National Natural Science Foundation of China(Nos.12202503,12132018,and 52394254)。; As a typical nonlinear wave,forward-leaning waves can be frequently encountered in the near-shore areas,which can impact coastal sediment transport significantly.Hence,it is of significance to describe the characteris...; 关键词：forward-leaning wave turbulent boundary layer velocity profile bottom shear stress

Analytical solutions for buckling of size-dependent Timoshenko beams被引量：4: 《Applied Mathematics and Mechanics(English Edition)》2019年第7期953-976,共24页Xiaojian XU Mulian ZHENG; Project supported by the National Natural Science Foundation of China(No.11602032);the China Postdoctoral Science Foundation(No.2016M602733);the Shaanxi Postdoctoral Science Foundation(No.2017BSHEDZZ123);the Fundamental Research Funds for the Central Universities of Ministry of Education of China(Nos.310821163502 and 300102219315); The inconsistences of the higher-order shear resultant expressed in terms of displacement(s) and the complete boundary value problems of structures modeled by the nonlocal strain gradient theory have not been well add...; 关键词：BUCKLING STRAIN GRADIENT theory BOUNDARY condition

Unsteady magnetohydrodynamic stagnation point flow — closed-form analytical solutions: 《Applied Mathematics and Mechanics(English Edition)》2019年第4期449-464,共16页T.G.FANG F.J.WANG Bo GAO; This paper investigates the unsteady stagnation point flow and heat transfer of magnetohydrodynamic(MHD) fluids over a moving permeable flat surface. The unsteady Navier-Stokes(NS) equations are transformed into a sim...; 关键词：UNSTEADY STAGNATION point flow stretching/shrinking sheet magnetohy-drodynamic(MHD) Navier-Stokes(NS)equation

Analytical solutions for plane problem of functionally graded magnetoelectric cantilever beam: 《Applied Mathematics and Mechanics(English Edition)》2015年第7期955-970,共16页Yanmei YUE Xiaofen YE Kaiyu XU; supported by the National Natural Science Foundation of China(Nos.10772106 and11072138);the Shanghai Leading Academic Discipline Project(No.S30106);the Research Fund for the Doctoral Program of Higher Education of China(No.20113108110005);the Natural Science Foundation Project of Shanghai(No.15ZR1416100); In this paper, an exact analytical solution is presented for a transversely isotropic functionally graded magnetomelectro-elastic （FGMEE） cantilever beam, which is subjected to a uniform load on its upper surface, a...; 关键词：functionally graded material （FGM） analytical solution magnetoelectrie（ME） material cantilever beam plane stress problem

Analytical solutions for finite cylindrical dynamic cavity expansion in compressible elastic-plastic materials被引量：3: 《Applied Mathematics and Mechanics(English Edition)》2014年第8期1039-1050,共12页甄明蒋志刚宋殿义刘飞; Project supported by the Research Project of National University of Defense Technology(No.S130901); Analytical solutions for the dynamic cylindrical cavity expansion in a com-pressible elastic-plastic cylinder with a finite radius are developed by taking into account of the effect of lateral free boundary, which are...; 关键词：PENETRATION cavity expansion metal target free boundary radial stress

Characteristic equation solution strategy for deriving fundamental analytical solutions of 3D isotropic elasticity: 《Applied Mathematics and Mechanics(English Edition)》2012年第10期1253-1264,共12页傅向荣袁明武岑松田歌; supported by the National Natural Science Foundation of China (Nos. 10872108 and10876100);the Program for New Century Excellent Talents in University (No. NCET-07-0477);the National Basic Research Programs of China (Nos. 2010CB731503 and 2010CB832701); A simple characteristic equation solution strategy for deriving the fun- damental analytical solutions of 3D isotropic elasticity is proposed. By calculating the determinant of the differential operator matrix obtaine...; 关键词：characteristic equation solution strategy fundamental analytical solution modified Papkovich-Neuber solution HU Hai-chang solution analytical trial function

Analytical solutions to edge effect of composite laminates based on symplectic dual system: 《Applied Mathematics and Mechanics(English Edition)》2011年第9期1091-1100,共10页姚伟岸聂臆瞩肖锋; supported by the National Basic Research Program of China (No. 2010CB832704);the National Natural Science Foundation of China (No. 10772039); In the symplectic space composed of the original variables,displacements,and their dual variables,stresses,the symplectic solution for the composite laminates based on the Pipes-Pagano model is established in this pap...; 关键词：composite laminates edge effect Pipes-Pagano model interlaminar stresses symplectic dual system

Analytical solutions for transverse distributions of stream-wise velocity in turbulent flow in rectangular channel with partial vegetation: 《Applied Mathematics and Mechanics(English Edition)》2011年第4期459-468,共10页槐文信耿川曾玉红杨中华; supported by the National Natural Science Foundation of China (Nos. 10972163 and 51079102);the Fundamental Research Funds for the Central Universities (No. 2104001); The theory of poroelasticity is introduced to study the hydraulic properties of the steady uniform turbulent flow in a partially vegetated rectangular channel. Plants are assumed as immovable media. The resistance cau...; 关键词：theory of poroelasticity open channel flow VEGETATION secondary current depth-averaged velocity distribution

Deformation of metallic single-walled carbon nanotubes in electric field based on elastic theory: 《Applied Mathematics and Mechanics(English Edition)》2010年第3期271-278,共8页洪文亮郭兴明; Project supported by the National Natural Science Foundation of China (Nos. 10972128 and 10472061);the Ph. D. Programs Foundation of Ministry of Education of China (No. 20060280015);the Shanghai Leading Academic Discipline Project (No. S30106); The electromechanical properties of metallic single-walled carbon nanotubes （SWCNTs） in the electric field are demonstrated with a column shell model in this paper. A hemisphere model is introduced to determine the ...; 关键词：single-walled carbon nanotubes charged deformation analytical solutions

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