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热冲击下四边简支浅壳的动态突跳行为

Dynamic snap-through of shallow shells under thermal shock

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准确地分析和预测浅壳结构在热冲击下的动态稳定性和结构完整性,对于工程中普遍使用的壳结构的设计和优化具有重要意义.利用非线性浅壳理论,并使用Ritz法和Newmark直接积分法研究了内表面受热冲击作用的四边简支各向同性浅壳的动态突跳(snap-through)行为.分析结果表明:浅壳在足够强的热冲击下会发生动态突跳,而在突跳前后都会发生较剧烈的热振动;Budi-ansky-Hutchinson准则可用于判定发生动态突跳的临界热冲击条件.
The dynamic snap-through behavior of isotropic shallow shells under thermal shock loading was studied in the present work.The transient heat conduction through the thickness of shell was analyzed first;the thermally induced membrane forces and bending moments were also derived.The classical shell theory was adopted to model the shell and the derived equations of motion accounts for the Karman's geo-metrically nonlinear strain.The equations of motion were then transformed into coupled time-dependent nonlinear algebraic equations via the Ritz method,and the latter was numerically solved with the Newmark method and Newton-Raphson's iterative method.The critical thermal shock condition for the occurrence of dynamic snap-through was identified by the Budiansky-Hutchinson criterion while the computational re-sults were analyzed.It was demonstrated that dynamic snap-through occurs in the shallow shell subjected to strong enough thermal shock,and thermally induced vibration exists during the whole snap-through process.The modeling and analysis methods provided by this study have important reference value for ac-curately evaluating the stability and dynamic response of engineering shallow shells under thermal shock.

thermal shockshallow shellsnap-throughBudiansky-Hutchinson criteria

孙伟、何利文

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宁波大学机械工程与力学学院,315211宁波

热冲击 浅壳 突跳 Budiansky-Hutchinson准则

国家自然科学基金

12072168

2024

应用力学学报
西安交通大学

应用力学学报

CSTPCD北大核心
影响因子:0.398
ISSN:1000-4939
年,卷(期):2024.41(3)
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