Analyses on the Distortion and Internal Force of Varying-thickness Round Plates with Fixed Constraint of Inner Edges in Electromagnetic Field

张秀礼; 白象忠

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Analyses on the Distortion and Internal Force of Varying-thickness Round Plates with Fixed Constraint of Inner Edges in Electromagnetic Field

更新时间：2026-09-14

- Analyses on the Distortion and Internal Force of Varying-thickness Round Plates with Fixed Constraint of Inner Edges in Electromagnetic Field
- 内边界固定变厚度圆板的磁弹性变形与内力分析
- Issue 5, Pages: 384-387(2006)
- 作者机构：
  
  燕山大学建筑工程与力学学院
- 作者简介：
- 基金信息：
- DOI：
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- Published：2006
- 稿件说明：
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张秀礼, 白象忠. Analyses on the Distortion and Internal Force of Varying-thickness Round Plates with Fixed Constraint of Inner Edges in Electromagnetic Field[J]. 2006, (5): 384-387.
DOI：

张秀礼, 白象忠. Analyses on the Distortion and Internal Force of Varying-thickness Round Plates with Fixed Constraint of Inner Edges in Electromagnetic Field[J]. 2006, (5): 384-387. DOI：

摘要

为了获得内边界固定的环形导电薄板在均布力与横向磁场作用下的变形问题的数值解

通过建立运动方程、变形方程、电动力学方程和洛仑兹力方程

运用迭代法得出了载流板壳的非线性磁弹性的计算方法和结果

以及机械场、电磁场对铁质变厚度圆板各力学参量的影响程度.

Abstract

For obtaining the numeral solutions of round elastic plates in axisymmetrical deformation with varying-thickness in nonlinear deformation in the unsteady electromagnetic field and mechanical field

by establishing the equations of motion

the equations of distortion

the equations of Lorentz force

the equations of electronic dynamic mechenical

and adopting iterative method

we gained the nonlinear magneto-elastic calculation method and outcome of current-carrying shell

and gained the influencing degree toward mechanical parameter of varying thickness round ferreous plates in the electromagnetic field and mechanical field.

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references

МольченкоЛВ.Мaгнитоупругоcтьнелинейныхтоконесущихоболочек[M].Bишашкол,аКие,в1989:44-50.

胥红敏,白象忠.内边界转角固定环形板的磁弹性分析[J].河北省科学院学报,2001,18(1):1-5.X u Hongm in,B a i X iangzhong.M agneto-e lastic ana lys is of annu lar p late w ith fixed constra in t of inner edges corner[J].Journa l of the H ebe i A cadem y of Sc iences,2001,18(1):1-5.(in Ch inese)

Chang Fuq ing.N on linear prob lem s of curren t-carry ing round p lates w ith vary ing th ickness in the e lectrom agneticfie ld[C].A pp lied M athem atics and M echan ics,1997.

徐耀铃.薄板薄壳非线性磁弹性问题的基本方程[J].燕山大学学报,1998,22(4):358-362.X u Y ao ling.M agneto-e lastic fundam en ta l equations of th in p lates and she lls in non linear deform ation[J].Journa l ofY anshan U n ivers ity,1998,22(4):358-362.(in Ch inese)

白象忠.板壳磁弹性理论基础[M].北京:机械工业出版社,1996:12.

[苏]诺沃日洛夫.非线性弹性力学基础[M].北京:科学出版社,1958.

N ewm ark N M.A m ethod of com pu tation for structura l D ynam ics[J].J.End.M ech.D iv.P roc.A SCE.,1959,85(7):67-97.

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