A finite difference perturbation scheme is developed which allows a simple solution to a wide class of non-linear bifurcation problems. The analysis shows that in order to determine the initial post buckling behaviour accurately, it is not necessary to solve more than the linear eigenvalue differenc
A numerical procedure for a non-linear elastic problem for incompressible material based on a perturbation method
β Scribed by Alexander Bajenitchev
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 706 KB
- Volume
- 131
- Category
- Article
- ISSN
- 0045-7825
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In this investigation a method that uses multiple time scales for the purpose of obtaining uniform asymptotic solutions of non-linear ordinary differential equations is modified through the introduction of a new small parameter, p, defined by p = e/(l + e), where c denotes the non-linearity paramete
Atmtract. This Imper describes & technique foΒ’ the solution of non-linem" boundary value problems in one dlmendon baaed on the boundary dement method. The nonlinearity is handled by a quasilinem-ization over subintervals or dements within the main domain. The weighting functlmm used are the solution