Vibration and Buckling of Viscoelastic Structures with Geometric and Material Uncertainties - Conves Modelling

方法论的基本问题， 不确定性，致力于统一处理几何和 材料特性，提出了在这项研究中。 而不是经典的概率方法，没有概率 治疗是利用，但新的集合理论的描述， 给出了不确定变量和不确定函数。 此外，本发明还提供了一种方法， 而不是通常的优化问题，其中最小可能 寻求结构的响应或最不利的形状， 在这里，不确定性建模被开发为反优化 由于形状或形状的影响， 材料的不确定性。 特别强调的是振动和 粘弹性结构的动力屈曲 小说动态 基于李雅普诺夫指数的稳定性判据， 粘弹性结构 不确定性的新处理方法是 从设计的角度来看特别有吸引力-因为外部 响应可以用于结构的有效设计， 需要实验数据来证实。

Fundamental issues of the methodology, convex modelling of uncertainty, dedicated to unified treatment of geometric and material characteristics, are put forward in this research. Instead of classical probabilistic methods, no probabilistic treatment is utilized, but the new set-theoretical description of the uncertain variables and functions is presented. In addition, instead of usual optimization problems, where the minimum possible responses or least favorable shapes of the structures are sought, here an uncertainty modelling is developed as an anti-optimization problem of finding the least favorable responses due to shape or material uncertainty. Special emphases are placed on vibration and dynamic buckling of viscoelastic structures. The novel dynamic stability criterion based on Lyapunov exponents is introduced for viscoelastic structures. New treatment of uncertainty is especially attractive from the design point of view-since extrenal responses can be used for valid design of structures, with scant experimental data needed for their substantiation.