کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6961760 1452154 2013 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Mathematical conditions for and physical meaning of a maximum of the determinant of K∼T in the prebuckling regime
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزار
پیش نمایش صفحه اول مقاله
Mathematical conditions for and physical meaning of a maximum of the determinant of K∼T in the prebuckling regime
چکیده انگلیسی
It is shown that the determinant of the tangent stiffness matrix has a maximum in the prebuckling regime if and only if the determinant of a specific linear combination of the first and the third derivative of this matrix with respect to a dimensionless load factor vanishes. The mathematical tool for this proof is the so-called consistently linearized eigenproblem in the frame of the Finite Element Method. The physical meaning of the mentioned maximum is the one of a minimum of the percentage bending energy of the total strain energy. The paper provides mathematical and physical background knowledge on numerical results that were obtained 35 years ago.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Engineering Software - Volumes 62–63, August–September 2013, Pages 3-8
نویسندگان
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