Fundamental frequency maximization of orthotropic shells using a free-form optimization method

Shi, Jin-Xing; Nagano, Tomohiro; Shimoda, Masatoshi

doi:10.1016/j.compstruct.2017.03.007

Cited by 17 publications

(3 citation statements)

References 41 publications

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“…There have been lots of researches to develop effective and efficient design methods to increase the structural fundamental frequency. Shi et al [22] presented a parameter-free approach for a design optimization of orthotropic shells that maximizes fundamental frequencies, where a shape variation was generated by a displacement field due to an external force equivalent to negative shape gradient function. Hu and Tsai [11] found optimal fiber orientation angles to maximize fundamental frequencies of fiber-reinforced laminated cylindrical shells.…”

Section: Introductionmentioning

confidence: 99%

Isogeometric configuration design optimization of three-dimensional curved beam structures for maximal fundamental frequency

Choi

Kim

Koo

et al. 2021

Struct Multidisc Optim

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This paper presents a configuration design optimization method for three-dimensional curved beam built-up structures having maximized fundamental eigenfrequency. We develop the method of computation of design velocity field and optimal design of beam structures constrained on a curved surface, where both designs of the embedded beams and the curved surface are simultaneously varied during the optimal design process. A shear-deformable beam model is used in the response analyses of structural vibrations within an isogeometric framework using the NURBS basis functions. An analytical design sensitivity expression of repeated eigenvalues is derived. The developed method is demonstrated through several illustrative examples.

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Section: Introductionmentioning

confidence: 99%

Isogeometric configuration design optimization of three-dimensional curved beam structures for maximal fundamental frequency

Choi

Kim

Koo

et al. 2021

Struct Multidisc Optim

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show abstract

Section: Introductionmentioning

confidence: 99%

“…Aspects of optimization of the composite shells have been studied in Shi et al (2017) and Liu et al (2016). In Shi et al (2017), a free-form optimization method is proposed that maximizes the fundamental frequencies of the orthotropic shells to avoid vibrational resonance. In Liu et al (2016), the structural optimization of a cantilever aircraft wing with stiffeners and curvilinear spars and ribs is described.…”

Section: Introductionmentioning

confidence: 99%

Optimal design of a cylindrical composite panel of piecewise constant thickness

Belybekyan

Poghosyan

Sharkhatunyan

2017

MMMS

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Purpose The purpose of this paper is to investigate the problem of optimizing geometrical and physical parameters of a stepped shell that maximize its rigidity and strength for given overall shell dimensions and fixed weight equal to the weight of a shell of constant thickness. Design/methodology/approach A mathematical model of the construction’s stress-strain state is described by solving a system of differential equations for each of the constituent parts of the shell, conjugation conditions on the division lines and boundary conditions. The stated optimization problem is reduced to a nonlinear programming problem, which is solved by the deformable polyhedron method in combination with the method of direct search and using the parallel computing package in the Wolfram Mathematica software application. Findings As follows from the results of the calculation, optimizing the shell parameters allows for a substantial increase in rigidity (decrease of the greatest deflection) and strength (increase of the load-carrying capacity) of the shell of constant stepwise thickness, as opposed to a shell of constant thickness, with constant weight and dimensions. Originality/value A problem of optimal design of a cylindrical composite panel of piecewise constant thickness is solved in the presented work. Numerical examples demonstrate that a substantial increase in rigidity and strength of a stepped composite shell can be achieved by the optimal choice of its geometrical and physical parameters.

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Shape Optimization of Shell Structure for Controlling Transient Response

Wakasa

Shimoda

2017

Advances in Structural and Multidisciplinary Optimization

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Fundamental frequency maximization of orthotropic shells using a free-form optimization method

Cited by 17 publications

References 41 publications

Isogeometric configuration design optimization of three-dimensional curved beam structures for maximal fundamental frequency

Isogeometric configuration design optimization of three-dimensional curved beam structures for maximal fundamental frequency

Optimal design of a cylindrical composite panel of piecewise constant thickness

Shape Optimization of Shell Structure for Controlling Transient Response

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