International Journal of Mathematical Physics最新文献

International Journal of Mathematical Physics Pub Date : 2018-07-27 DOI: 10.18063/ijmp.v1i1.671

Nwawuru Francis

引用次数: 0

Statistical mechanics of hard spheres: the scaled particle theory of the hard sphere fluid revisited 硬球的统计力学:重述硬球流体的尺度粒子理论

International Journal of Mathematical Physics Pub Date : 2018-07-27 DOI: 10.18063/ijmp.v1i1.757

B. Baeyens

{"title":"Statistical mechanics of hard spheres: the scaled particle theory of the hard sphere fluid revisited","authors":"B. Baeyens","doi":"10.18063/ijmp.v1i1.757","DOIUrl":"https://doi.org/10.18063/ijmp.v1i1.757","url":null,"abstract":"The aim of this paper is to exhaust the possibilities offered by the scaled particle theory as far as possible and to confirm the reliability of the virial coefficients found in the literature, especially the estimated ones: B i for i > 11. In a previous article (J.Math.Phys.36,201,1995) a theoretical equation of state for the hard sphere fluid was derived making use of the ideas of the so called scaled particle theory which has been developed by Reiss et al.(J.Chem.Phys.31,369,1959). It contains two parameters which could be calculated. The equation of state agrees with the simulation data up to high densities, where the fluid is metastable. The derivation was besed on a generalized series expansion. The virial coefficients B 2 , B 3 and B 4 are exactly reproduced and B 5 , B 6 and B 7 to within small deviations, but the higher ones up to B 18 are systematically and significantly smaller than the values found in the literature. The scaled particle theory yields a number of equations of which only four were used. In this paper we make use of seven equations to calculate the compressibility factors of the fluid. They agree with the simulation data slightly better than those yielded by the old equation. Moreover, the differences between the calculated virial coefficients B i and those found in the literature up to B 18 are very small (less than 4 percent).","PeriodicalId":330194,"journal":{"name":"International Journal of Mathematical Physics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-07-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115623526","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Spectral Dynamic Analysis of Torsional Vibrations of Thin-Walled Open Section Beams Restrained Against Warping at One End and Transversely Restrained at the Other End 一端受翘曲约束，另一端受横向约束的薄壁开截面梁扭转振动的谱动力分析

International Journal of Mathematical Physics Pub Date : 2018-07-27 DOI: 10.18063/ijmp.v1i1.746

Chellapilla Kameswara Rao 1, Lokavarapu Bhaskara Rao 2

{"title":"Spectral Dynamic Analysis of Torsional Vibrations of Thin-Walled Open Section Beams Restrained Against Warping at One End and Transversely Restrained at the Other End","authors":"Chellapilla Kameswara Rao 1, Lokavarapu Bhaskara Rao 2","doi":"10.18063/ijmp.v1i1.746","DOIUrl":"https://doi.org/10.18063/ijmp.v1i1.746","url":null,"abstract":"The present paper deals with spectral dynamic analysis of free torsional vibration of doubly symmetric thin-walled beams of open section. Spectral frequency equation is derived in this paper for the case of rotationally restrained doubly-symmetric thin-walled beam with one end rotationally restrained and transversely restrained at the other end. The resulting transcendental frequency equation with appropriate boundary conditions is derived and is solved for varying values of warping parameter and the rotational and transverse restraint parameter. The influence of rotational restraint parameter, transverse restraint parameter and warping parameter on the free torsional vibration frequencies is investigated in detail. A MATLAB computer program is developed to solve the spectral frequency equation derived in this paper. Numerical results for natural frequencies for various values of rotational and transverse restraint parameters for various values of warping parameter are obtained and presented in both tabular as well as graphical form showing the influence of these parameters on the first fundamental torsional frequency parameter.","PeriodicalId":330194,"journal":{"name":"International Journal of Mathematical Physics","volume":"13 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-07-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132924050","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

On Some Properties of Metals Under Complex Loading 金属在复杂载荷下的一些性质

International Journal of Mathematical Physics Pub Date : 2018-07-27 DOI: 10.18063/ijmp.v1i1.751

Abirov Rustam

引用次数: 0

A new approach for solving fractional RL circuit model through quadratic Legendre multi-wavelets 利用二次勒让德多小波求解分数阶RL电路模型的新方法

International Journal of Mathematical Physics Pub Date : 2018-07-27 DOI: 10.18063/ijmp.v1i1.724

N. S. Chauhan

引用次数: 6