Stability And Optimization Of Structures


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Stability and Optimization of Structures


Stability and Optimization of Structures

Author: Makoto Ohsaki

language: en

Publisher: Springer Science & Business Media

Release Date: 2007-06-10


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This book focuses on the optimization of a geometrically-nonlinear structure under stability constraint. It presents a deep insight into optimization-based and computer-assisted stability design of discrete structures. Coverage combines design sensitivity analysis developed in structural optimization and imperfection-sensitivity analysis developed in stability analysis.

Modeling, Solving and Application for Topology Optimization of Continuum Structures: ICM Method Based on Step Function


Modeling, Solving and Application for Topology Optimization of Continuum Structures: ICM Method Based on Step Function

Author: Yunkang Sui

language: en

Publisher: Butterworth-Heinemann

Release Date: 2017-08-29


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Modelling, Solving and Applications for Topology Optimization of Continuum Structures: ICM Method Based on Step Function provides an introduction to the history of structural optimization, along with a summary of the existing state-of-the-art research on topology optimization of continuum structures. It systematically introduces basic concepts and principles of ICM method, also including modeling and solutions to complex engineering problems with different constraints and boundary conditions. The book features many numerical examples that are solved by the ICM method, helping researchers and engineers solve their own problems on topology optimization. This valuable reference is ideal for researchers in structural optimization design, teachers and students in colleges and universities working, and majoring in, related engineering fields, and structural engineers. - Offers a comprehensive discussion that includes both the mathematical basis and establishment of optimization models - Centers on the application of ICM method in various situations with the introduction of easily coded software - Provides illustrations of a large number of examples to facilitate the applications of ICM method across a variety of disciplines

Optimization of Gridshells Against Instability Considering Joints’ Mechanical Performance


Optimization of Gridshells Against Instability Considering Joints’ Mechanical Performance

Author: Mingfei Lu

language: en

Publisher: Springer Nature

Release Date: 2025-08-10


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This open access book introduces external factors such as loads and constraints into the theory of configurational vulnerability, thereby overcoming the classical theory's inability to account for external influences. Stability is a governing factor in the design of single-layer gridshells, becoming increasingly critical as the span grows. However, current design methodologies address stability primarily through post-design verification, which severs the intrinsic link between member design and overall structural stability. This disjointed approach leads to iterative cycles of design and verification, reducing efficiency. Concurrently, advances in industrialized construction have spurred the development of numerous innovative joints tailored for prefabricated construction. These joints are neither ideally rigid nor ideally hinged. Yet, prevailing design methods and stability verification processes still assume ideal rigid connections, failing to incorporate the mechanical properties of joints and thereby constraining the adoption and application of these new designs. This integration provides a novel perspective on instability mechanisms. Based on the instability mechanisms of gridshells, a stability optimization model is developed under the rigid joint assumption. Due to the large number of variables involved in the optimization model, conventional algorithms often prove inadequate. To address this, the study enhances the standard genetic algorithm by replacing its random mutation mechanism with a directed mutation mechanism, significantly improving search efficiency. The improved algorithm efficiently solves large-scale stability optimization problems for single-layer gridshells, as validated using three gridshells of varying scales and two constructed examples. To expand the forms of gridshell joints, the study employs advanced topology optimization techniques to enhance rotational stiffness. Simultaneously, the study integrates the requirements of prefabricated construction by designing a universal connection interface capable of accommodating members from diverse orientations. This effort culminates in the development of novel joint designs for spatial grid structures that are both mechanically efficient and construction-friendly.