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- Title
NATURAL FINITE ELEMENT METHOD: A NEW PROPOSAL FOR STIFFNESS CALCULATION USING NATURAL DERIVATIVES.
- Authors
Ranjbaran, Abdolrasoul; Ranjbaran, Mohammad; Ayatollahi, Shahab; Taghikhani, Vahid; Shad, Saeed
- Abstract
The cross stiffness in the standard form of the stiffness matrix is conventionally defined as the product of the core derivatives of the shape functions which are integrated over the domain of the element. This paper proposes a new method of analysis of cracked structures in which the stiffness is simply defined as a natural derivative of the shape function. As a result, the proposed method takes less time to solve the problem as compared to the finite element method. The proposed method can be equally applied to both the uncracked and cracked structures. The derivation, implementation and verification of the proposed method have been presented and discussed in this paper.
- Subjects
FINITE element method; MATRIX derivatives; STIFFNESS (Mechanics); DIRAC function; WEIGHTED residual method; EQUIPMENT &; supplies
- Publication
NED University Journal of Research, 2016, Vol 13, Issue 3, p61
- ISSN
2304-716X
- Publication type
Article