ANALYTICAL_SOLUTIONS

作品数:179被引量:284H指数:9
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相关作者:樊蔚勋高存法更多>>
相关机构:重庆大学中国科学院云南天文台衢州学院南京理工大学更多>>
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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中国博士后科学基金北京市自然科学基金更多>>
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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 
Casson hybrid nanofluid flow over a Riga plate for drug deliveryapplications with double diffusion
《Chinese Physics B》2024年第10期311-320,共10页Abeer S.Alnahdi Taza Gul 
extend their appreciation to the Deanship of Scientific Research at Imam Mohammad Ibn Saud Islamic University(IMSIU)for funding this work(Grant No.IMSIURPP2023053).
Casson fluid-mediated hybrid nanofluids are more effective at transferring heat than traditional heat transfer fluids in terms of thermal conductivity.Heat exchangers,cooling systems and other thermal management syste...
关键词:carbon nanotubes(CNTs) Riga plate Casson fluid with Fourier’s and Fick’s laws analytical solutions 
High-precision analytical solutions for Earth coverage of constellation equipped with reentry glide vehicles被引量:1
《Chinese Journal of Aeronautics》2024年第9期385-398,共14页Ping MA Weibo SUN Jie GAO Tao CHAO 
supported by the National Natural Science Foundation of China (No.62273119).
To efficiently and accurately design satellite constellations equipped with Reentry Glide Vehicles(RGVs),new analytical solutions are developed for calculating their coverage perfor-mance.Specifically,a new coverage m...
关键词:CONSTELLATION Analytical solutions Reentry glide vehicle Reentry reachable domain Two-dimensional map 
Analytical solutions fractional order partial differential equations arising in fluid dynamics
《Applied Mathematics(A Journal of Chinese Universities)》2024年第3期458-468,共11页Sidheswar Behera Jasvinder Singh Pal Virdi 
This article describes the solution procedure of the fractional Pade-Ⅱ equation and generalized Zakharov equation(GSEs)using the sine-cosine method.Pade-Ⅱ is an important nonlinear wave equation modeling unidirectio...
关键词:the sine-cosine method He's fractional derivative analytical solution fractional Pade-Ⅱequation fractional generalized Zakharov equation 
Consolidation of high replacement ratio stone column-reinforced ground:Analytical solutions incorporating clogging effect
《Journal of Rock Mechanics and Geotechnical Engineering》2024年第8期3311-3326,共16页Jinxin Sun Mengmeng Lu Baolong Xu Jie Shan 
funding support from the National Natural Science Foundation of China(Grant Nos.52178373 and 51878657).
The utilization of stone columns has emerged as a popular ground improvement strategy,whereas the drainage performance can be adversely hampered by clogging effect.Despite the ample progress of calculation methods for...
关键词:CONSOLIDATION Composite ground Stone column Clogging effect Ground improvement Analytical model 
Seismic response of deep circular tunnels subjected to S-waves:Axial bending
《Underground Space》2024年第4期267-279,共13页Chatuphat Savigamin Antonio Bobet Osvaldo P.M.Vitali 
Ovaling deformation of circular tunnels has received great interest from the tunneling community because this mode of seismicinduced deformation is considered the most critical.However,there is growing evidence that o...
关键词:Seismic response of tunnels Analytical solutions Soil-structure interaction Axial bending Snaking S-WAVES 
Analytical Solutions for Testing of Baroclinic and Wind-Driven Three-Dimensional Hydrodynamic Models
《Journal of Applied Mathematics and Physics》2024年第8期2866-2884,共19页Cheng He 
It is always a challenge for a model developer to verify a three-dimensional hydrodynamic model, especially for the baroclinic term over variable topography, due to a lack of observational data sets or suitable analyt...
关键词:3D Model Baroclinic Force Analytical Solutions Model Verification 
Global Tangentially Analytical Solutions of the 3D Axially Symmetric Prandtl Equations
《Chinese Annals of Mathematics,Series B》2024年第4期573-596,共24页Xinghong PAN Chaojiang XU 
supported by the National Natural Science Foundation of China(Nos.12031006,11801268);the Fundamental Research Funds for the Central Universities of China(No.NS2023039)。
In this paper,the authors will prove the global existence of solutions to the three dimensional axially symmetric Prandtl boundary layer equations with small initial data,which lies in H1Sobolev space with respect to ...
关键词:Global existence Tangentially analytical solutions Axially symmetric Prandtl equations 
Analytical solutions for full-field radiations of magnetoelectric antennas with nonlinear magnetoelastic coupling
《Acta Mechanica Sinica》2024年第7期109-121,共13页Baoxin Lei Zhixiong You Zhidong Zhang Yang Shi 
supported by the Natural Science Foundation of Shaanxi Province(Grant No.2024JC-YBMS-069);the Fundamental Research Funds for the Central Universities and the Innovation Fund of Xidian University(Grant Nos.ZYTS24026 and YJSJ24001).
This paper presents analytical solutions for full-field radiation in magnetoelectric(ME)antennas,considering a fully magnetoelastic coupled constitutive relation.A nonlinear converse ME coupling model is established,i...
关键词:ME antenna Full-field radiation Magneto-elastic coupling Radiation patterns 
Analytical Solutions for an Isotropic Elastic Half-Plane with Complete Surface Effects Subjected to a Concentrated/Uniform Surface Load被引量:1
《Acta Mechanica Solida Sinica》2024年第3期371-384,共14页Xia-Hui Pan 
supported by the National Natural Science Foundation of China(12272126,12272127);the Doctoral Fund of HPU(B2015-64).
Within the context of Gurtin-Murdoch surface elasticity theory,closed-form analytical solutions are derived for an isotropic elastic half-plane subjected to a concentrated/uniform surface load.Both the effects of resi...
关键词:Surface effects Residual surface stress Surface elasticity HALF-PLANE Analytical solutions 
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