کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
791725 | 901977 | 2006 | 16 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A theorem of instability by linear approximation for a one-dimensional non-linearly elastic body
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موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی مکانیک
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
On the basis of and in a development of the ideas and results of A.A. Movchan (Sr.), that extend to continuous bodies the definitions and main fundamental theorems of Lyapunov on stability and instability, a criterion for instability of the equilibrium position of a one-dimensional non-linearly elastic body subject to potential external forces is established. For the specified simplest type of continuous elastic system (which possesses, however, a number of fundamental properties of continuous elastic systems including unboundedness of the operator of linear approximation and discreteness of its spectrum) a theorem of instability by linear approximation is stated and proved. The method of proof is a version of Persidskii's sector method.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Applied Mathematics and Mechanics - Volume 70, Issue 5, 2006, Pages 769-784
Journal: Journal of Applied Mathematics and Mechanics - Volume 70, Issue 5, 2006, Pages 769-784
نویسندگان
E.I. Ryzhak,