Free vibration analysis and shape optimization of variable thickness plates, prismatic folded plates and curved shells

Hinton, E.; Özakça, Mustafa; Rao, N. Bheema

doi:10.1006/jsvi.1995.0158

Cited by 21 publications

(8 citation statements)

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“…In fact, NURBS have been recognised in much of the literature as a prevalent shape definition method: "The representation of curves and surfaces in NURBS form is now an accepted industry standard; hence, it is of practical interest to have NURBS descriptions of all curves and surfaces occurring in the design and manufacturing process" [71]. There are a number of practical examples available outlining the use of spline methods in geometric representation or design applications [72][73][74][75][76]. In their paper, Pottman and Farin [71] describe the use of NURBS for surface definition in sheet-metal and plate-metal based applications.…”

Section: Spline-based Methodsmentioning

confidence: 99%

Intelligent Data Storage and Retrieval for Design Optimisation – an Overview

Peebles¹,

Bil²,

Drack³

2005

Acta Polytech

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This paper documents the findings of a literature review conducted by the Sir Lawrence Wackett Centre for Aerospace Design Technology at RMIT University. The review investigates aspects of a proposed system for intelligent design optimisation. Such a system would be capable of efficiently storing (and compressing if required) a range of types of design data into an intelligent database. This database would be accessed by the system during subsequent design processes, allowing for search of relevant design data for re-use in later designs, allowing it to become very efficient in reducing the time for later designs as the database grows in size. Extensive research has been performed, in both theoretical aspects of the project, and practical examples of current similar systems. This research covers the areas of database systems, database queries, representation and compression of design data, geometric representation and heuristic methods for design applications.

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Section: Spline-based Methodsmentioning

confidence: 99%

Intelligent Data Storage and Retrieval for Design Optimisation – an Overview

Peebles¹,

Bil²,

Drack³

2005

Acta Polytech

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“…17- 19) into the Fourier transforms of Eqs. (2), (3), (5) and 10yields the frequency domain expressions of the force and moment resultants of the plate:…”

Section: Governing Differential Equations and The Solutions Of The Platementioning

confidence: 99%

“…Vibration of coupled structures with plate components has been studied by many researchers in the past decades. Vibration behaviors of folded plates are analyzed in literature [1][2][3][4][5][6][7][8][9]. Vibration characteristics of and power flow transmission through the L-shaped plate are studied in [10][11][12][13][14][15][16][17][18][19][20].…”

Section: Introductionmentioning

confidence: 99%

Free vibration analysis of plate/shell coupled structures by the method of reverberation-ray matrix

Tang¹,

Yao²,

Wu³

2016

J. vibroeng.

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This paper is concerned with free vibration analysis of plate/shell coupled structures with two opposite edges simply supported by the method of reverberation-ray matrix. The equations of motion of the flat plate and the open circular cylindrical shell, respectively based on the classical thin plate theory and the Flügge thin shell theory, are introduced. Analytical solutions of the combination of a traveling wave form along the circumferential direction and a standing wave form along the axial direction are obtained. The method of reverberation-ray matrix is applied to derive the equation of the natural frequencies for the plate/shell coupled structures. The semi-analytical natural frequencies are obtained with the employment of the golden section search algorithm. The semi-analytical calculation results of three typical plate/shell coupled structures are presented and the results are compared with those obtained by the finite element method. The comparison shows that the calculation results obtained in this paper are of high accuracy and that the formulation presented in this manuscript are validated for free vibration analysis of plate/shell coupled structures.

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“…In the 1990s, the first ideas of changing the dynamic characteristics of structures by optimization techniques were based on parameter optimization. In these cases, the design parameter was the thickness of the beam or the plate that composed the structure, and the objective was to move the fundamental frequencies toward higher values [2,3]. Since then, other authors explored the different ways of changing the natural frequencies of a structure by optimizing its parameters, for example, by changing the thickness of wind turbine blade roots [4], by choosing the optimized orientation of fiber reinforcements in composite plates [5,6], by changing the flexibility of the boundary conditions [7], or by choosing the optimum positions of stiffeners (reinforcements) to be placed over plates [8].…”

Section: Introductionmentioning

confidence: 99%

Linearization of embedded patterns for optimization of structural natural frequencies

Nicoletti

2019

J Braz. Soc. Mech. Sci. Eng.

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The dynamic characteristics of structures (beams and plates) can be significantly changed by embossing small out-of-plane patterns in these structures. Recent results in literature show, both numerically and experimentally, that shaping a beam in the geometry of its first mode shape significantly increases the value of the first natural frequency of the beam. This phenomenon also occurs when the beam is shaped in the geometry of other mode shapes, and in the case of plates. This work presents new results (numerical and experimental) regarding the linearization of the forms to be imposed to the structure, focusing on shapes composed of straight regions, which would ease the design of stamping tools for example. The results show that the use of straight regions in the geometry of the beams (linear embossed pattern) has a similar effect to that obtained with curved shapes but requiring bigger distances to the baseline (higher shaping deformations). It is also shown that the linearized shapes can be used to optimize the shape of a beam for desired natural frequencies.

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Free vibration analysis and shape optimization of variable thickness plates, prismatic folded plates and curved shells

Cited by 21 publications

References 0 publications

Intelligent Data Storage and Retrieval for Design Optimisation – an Overview

Intelligent Data Storage and Retrieval for Design Optimisation – an Overview

Free vibration analysis of plate/shell coupled structures by the method of reverberation-ray matrix

Linearization of embedded patterns for optimization of structural natural frequencies

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