This paper suggests an optimization-based methodology for the design of minimum weight structures with kinematic nonlinear behavior. Attention is focused on three-dimensional reticulated structures idealized with beam elements under proportional static loadings. The algorithm used for optimization is based on a classical optimality criterion approach using an active-set strategy for extreme lim...

We consider a boundary-value problem for the nonlinear integrodifferential equation $$ {u}^{\prime \prime }-m\left(\underset{0}{\overset{l}{\int }}{u}^{\prime 2} dx\right){u}^{{\prime\prime} }=f\left(x,u,{u}^{\prime}\right),\kern1em m(z)\ge \upalpha >0,\kern1em 0\le z<\infty, simulating static state of Kirchhoff beam. The is reduced to integral equation, which solved by using Picard iterative m...

We revisit relational static analysis of numeric variables. Such analyses face two difficulties. First, even inexpensive relational domains scale too poorly to be practical for large code-bases. Second, to remain tractable they have extremely coarse handling of non-linear relations. In this paper, we introduce the subterm domain, a weakly relational abstract domain for inferring equivalences am...

There are various methods for the analysis of the interactional behavior of the surrounding land, using the lining structure which is the most common method of deigning lining structure tools for the static loads by using the hyper static methods. In recent years, there has been a question that depicts whether this method provides the best results in designing the tunnel structure or not.Due to...

* Correspondence: [email protected]. com School of Science, Tianjin Polytechnic University, Tianjin 300387, China Abstract This article considers both the static output feedback stabilization issue and outputfeedback guaranteed cost controller design of a class of discrete-time nonlinear systems with time-delay. First, by static output feedback controller, the new sufficient conditions for static...