Uncertainty-Based Optimal Structural Design

对于信息有限的系统，凸建模的概念为不确定性分析提供了一个有吸引力的替代方法。要开发的优化算法将用于在不确定的静载荷、自应变不确定性（如制造误差、温度梯度、支撑沉降）和上述不确定性的组合下使结构系统的体积最小化。将对关节位移和构件应力施加约束。另一类具有不确定性的问题是使结构旋转或跨支承弹簧的体积最小化的问题。对构件应力和关节位移施加了约束。另一类问题是，当减振器和主结构的阻尼和频率特性存在不确定性时，如何使装有动力减振器的主结构的振幅最小。对结构性能不确定、地震作用不确定的结构进行优化设计。最后进行了不确定地震作用下结构土-结构相互作用特性不确定的最小体积设计。

9522654 Pantelides The concept of convex modeling provides an attractive alternative for analysis of uncertainty in systems for which a limited amount of information is available. The optimization algorithms to be developed will be used for minimizing the volume of a structural system under uncertain static loads, self-strained uncertainties such as fabrication errors, temperature gradients, support settlements, and a combination of the above uncertainties. Constraints on the joint displacements and member stresses will be imposed. Another type of problem with uncertainty is that of minimizing the volume of a structural rotational or transnational supporting springs. Constraints on member stresses and joint displacements are imposed. A different type of problem is one of minimizing the amplitude of the primary structure equipped with a dynamic absorber when uncertainties exist in the damping and frequency characteristics of the vibration absorber and the primary structure. The optimum design of structures with uncertain structural properties, under uncertain earthquake excitations will also be performed. Finally the minimum volume design of structures with uncertain soil- structure interaction properties, under uncertain earthquakes will be performed.