Study of dynamic stability of simply supported beams on Pasternak foundation considering the effect of first transition foundation parameter

被引：4

作者：

Ratnam, B. Subba ^{[1
]}

Rao, G. Venkateswara ^{[1
]}

Janardhana, G. Ranga ^{[2
]}

机构：

[1] Vardhaman Coll Engn, Dept Mech Engn, Hyderabad 501218, Andhra Pradesh, India

[2] JNTU Coll Engn, Dept Mech Engn, Vizianagaram 535003, India

来源：

ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 2012年 / 92卷 / 06期

关键词：

Dynamic stability; simply supported beams; periodic loads; Pasternak foundation; transition foundation parameter; WINKLER FOUNDATION; VIBRATION;

D O I：

10.1002/zamm.201100040

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The dynamic stability behavior of simply supported beams on the Pasternak foundation, with emphasis on the effect of the transition foundation parameter, subjected to a concentrated end axial periodic load, is presented in this paper. The energy method, using a single term exact trigonometric admissible function to represent the lateral deflection, is employed to obtain the dynamic instability regions. These regions are presented in the graphical form, for the first and second foundation parameters of the Pasternak foundation. The effect of the transition foundation parameter, which can be exactly evaluated for the simply supported beams on the Pasternak foundation, on the dynamic instability behavior of the simply supported beams, is investigated. The existence of the master dynamic instability curves is established in the present study by using the specific non-dimensional parameters for the applied periodic load and its radian frequency.

引用

页码：490 / 496

页数：7

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