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Formal asymptotic analysis of elastic beams and thin-walled beams: A derivation of the Vlassov equations and their generalization to the anisotropic heterogeneous case

机译：弹性梁和薄壁梁的正式渐近分析：Vlassov方程的推导及其对各向异性异质情况的推导

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Patrick Ballard; Bernadette Miara;
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1. FORMAL ASYMPTOTIC ANALYSIS OF ELASTIC BEAMS AND THIN-WALLED BEAMS:A DERIVATION OF THE VLASSOV EQUATIONS AND THEIR GENERALIZATION TO THE ANISOTROPIC HETEROGENEOUS CASE [J] . PATRICK BALLARD, BERNADETTE MIARA Discrete and continuous dynamical systems▼hSeries S . 2019,第6期

机译：弹性梁和薄壁梁的正式渐近分析：Vlassov方程的推导及其对各向异性异质情况的推导
2. Asymptotic analysis of Poisson's equation in a thin domain and its application to thin-walled elastic beams and tubes [J] . Rodriguez JM., Viano JM. Mathematical Methods in the Applied Sciences . 1998,第3期

机译：薄区域中泊松方程的渐近分析及其在薄壁弹性梁和管中的应用
3. Thin-walled Beams: A Derivation of Vlassov Theory via Γ-Convergence [J] . Lorenzo Freddi, Antonino Morassi, Roberto Paroni Journal of Elasticity . 2007,第3期

机译：薄壁梁：基于Γ收敛的Vlassov理论的推导
4. ASYMPTOTICALLY-CORRECT STRUCTURAL MODELLING OF THIN-WALLED ANISOTROPIC CLOSED CROSS-SECTION ROTATING SLENDER BEAMS [C] . F. Khouli, F.F. Afagh, R.G. Langlois International Conference on Advances in Engineering Structures, Mechanics amp; Construction; 20060514-17; Waterloo(CA) . 2006

机译：薄壁各向异性封闭截面旋转凸台的渐近正确的结构建模
5. An efficient method of analysis for thin-walled beams made with nonlinear elastic materials. [D] . Mazurek, Arkadiusz. 2005

机译：一种分析非线性弹性材料制成的薄壁梁的有效方法。
6. Elastic Critical Moment for the Lateral–Torsional Buckling (LTB) Analysis of Structural Glass Beams with Discrete Mechanical Lateral Restraints [O] . Dario Santo, Silvana Mattei, Chiara Bedon 2020

机译：具有离散机械横向约束的结构玻璃梁的横向-扭转屈曲（LTB）分析的弹性临界矩
7. Thin-walled beams: a derivation of Vlassov theory via Γ –convergence [O] . Lorenzo Freddi, Antonino Morassi, Roberto Paroni 2012

机译：薄壁梁：基于Γ会聚的Vlassov理论的推导

Formal asymptotic analysis of elastic beams and thin-walled beams: A derivation of the Vlassov equations and their generalization to the anisotropic heterogeneous case

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