The Solvability and Numerical Simulation for the Elastic Beam Problems with Nonlinear Boundary Conditions

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The Solvability and Numerical Simulation for the Elastic Beam Problems with Nonlinear Boundary Conditions

机译：非线性边界条件的弹性光束问题的可解性和数值模拟

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We study the existence of multiple solutions for a fourth-order nonlinear boundary value problem. We give some new criteria for guaranteeing that the fourth-order elastic beam equation with a perturbed term has at least three solutions. The proof is based on some three critical points theorems of B. Ricceri. Furthermore, numerical simulations are also presented.

机译：我们研究了四阶非线性边值问题的多种解决方案的存在。我们提供了一些新标准，以保证具有扰动术语的第四阶弹性光束方程具有至少三种解决方案。证据基于B. Ricceri的一些三个关键点定理。此外，还提出了数值模拟。

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《Abstract and applied analysis》 |2014年第2期|共7页
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5. Modeling, numerical analysis, and simulations of nonlinear dynamic beams. [D] . Purcell, John V. 2011

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6. An effective numerical method to solve a class of nonlinear singular boundary value problems using improved differential transform method [O] . Lie-jun Xie, Cai-lian Zhou, Song Xu -1

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7. Multi-harmonic measurements and numerical simulations of nonlinear vibrations of a beam with non-ideal boundary conditions [O] . Claeys, Maxence, Sinou, Jean-Jacques, Lambelin, Jean-Pierre, 2014

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8. On a Numerical Scheme for Solving Nonlinear Boundary Value Problems with Mixed Boundary Conditions. [R] . chow, reuben r. 1974

机译：混合边界条件下求解非线性边值问题的数值格式。

The Solvability and Numerical Simulation for the Elastic Beam Problems with Nonlinear Boundary Conditions

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