新型多稳态结构设计与力学原理分析

CONFIGURATION DESIGN AND MECHANICAL ANALYSIS OF NOVEL MULTISTABLE STRUCTURES

  • 摘要: 多稳态结构作为一类具有多个平衡状态的非线性系统,在能量耗散、冲击防护以及振动控制等领域有着广阔的应用前景。该文提出一种基于柔性杆屈曲失稳原理的双稳态结构,建立了相应力学解析模型,并定义了关键设计参数——刚度比k与初始角度θ0。通过深入分析参数变化对结构响应机制的影响,明确了超塑性、超弹性与单稳态这三种响应模式之间的参数界限,提出了面向工程实践的设计准则。为检验理论模型的准确性,开展了有限元数值仿真,结果表明该理论模型具有较高的可靠性。该研究为多稳态结构参数化设计与工程应用提供了系统的理论基础与方法指导。

     

    Abstract: Multistable structures are a type of nonlinear systems, they have multiple equilibrium states. These structures show great application potential in areas like energy dissipation, impact protection, and vibration control. This paper presents a bistable structure based on the buckling behavior of flexible rods. A corresponding mechanical analytical model is built. Key design parameters are defined, which are the stiffness ratio k and the initial angle θ0. By deeply analyzing how parameter changes affect the structural response, the boundaries between three response modes are identified. These modes are superplasticity, superelasticity, and monostability. Design guidelines for engineering practice are provided. To check the accuracy of the theoretical model, finite element numerical simulations are performed. The computational results confirm the model's good reliability. This study offers a systematic theoretical basis, and a methodological support, for the parametric design and for the engineering application of multistable structures.

     

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