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RISS 인기검색어
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- 저자 : Zhaohui Qi (검색결과 4 건)
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Zhaohui Chen,Qi Huang 제어·로봇·시스템학회 2014 International Journal of Control, Automation, and Vol.12 No.3
This paper discusses the exponential L₂-L∞ filtering problem of a class of nonlinear stochastic systems with Markovian jumping parameters and mixed mode-dependent time-varying delays. By introducing a new multiple mode-dependent Lyapunov-Krasovskii functional, stochastic analysis is conducted. The condition for the existence of mode-dependent L₂-L∞ filter, in which the filtering error is guaranteed to be exponentially stable with prescribed L₂-L∞ performance, is developed. The developed criterion is delay-range-dependent, mode-dependent and decay-rate-dependent. Based on the derived criterion, the L₂-L∞ filtering problems are solved. The mode-dependent filter coefficients can be obtained by solving a set of linear matrix inequalities (LMIs). Numerical simulations are presented to illustrate the effectiveness of the proposed approach.
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Higher-order assumed stress quadrilateral element for the Mindlin plate bending problem
Tan Li,Zhaohui Qi,Xu Ma,Wanji Chen 국제구조공학회 2015 Structural Engineering and Mechanics, An Int'l Jou Vol.54 No.3
In this paper an 8-node quadrilateral assumed stress hybrid Mindlin plate element with 39 is presented. The formulation is based on complementary energy principle. The proposed element is free of shear locking and is capable of passing all the patch tests, especially the non-zero constant shear enhanced patch test. To accomplish this purpose, special attention is devoted to selecting boundary displacement interpolation and stress approximation in domain. The arbitrary order Timoshenko beam function is successfully used to derive the boundary displacement interpolation. According to the equilibrium equations, an appropriate stress approximation is rationally derived. Particularly, in order to improve element’s accuracy, the assumed stress field is derived by employing 39 rather than conventional 21. The resulting element can be adopted to analyze both moderately thick and thin plates, and the convergence for the very thin case can be ensured theoretically. Excellent element performance is demonstrated by a wide of experimental evaluations.
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Higher-order assumed stress quadrilateral element for the Mindlin plate bending problem
Li, Tan,Qi, Zhaohui,Ma, Xu,Chen, Wanji Techno-Press 2015 Structural Engineering and Mechanics, An Int'l Jou Vol.54 No.3
In this paper an 8-node quadrilateral assumed stress hybrid Mindlin plate element with $39{\beta}$ is presented. The formulation is based on complementary energy principle. The proposed element is free of shear locking and is capable of passing all the patch tests, especially the non-zero constant shear enhanced patch test. To accomplish this purpose, special attention is devoted to selecting boundary displacement interpolation and stress approximation in domain. The arbitrary order Timoshenko beam function is successfully used to derive the boundary displacement interpolation. According to the equilibrium equations, an appropriate stress approximation is rationally derived. Particularly, in order to improve element's accuracy, the assumed stress field is derived by employing $39{\beta}$ rather than conventional $21{\beta}$. The resulting element can be adopted to analyze both moderately thick and thin plates, and the convergence for the very thin case can be ensured theoretically. Excellent element performance is demonstrated by a wide of experimental evaluations.
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Jinshuai Xu,Zhaohui Qi,Yingpeng Zhuo,Tianjiao Zhao,Rumin Teng,Lingchong Gao 대한기계학회 2023 JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY Vol.37 No.10
Double cable system (DCS) with a movable guide pulley (MGP) is a common component in many mechanical equipment. It is difficult to calculate the unstressed length of cable under a preload, and the form-finding analysis after obtaining the unstressed length. To solve this problem, a method of establishing double-layer nonlinear equations for calculating the unstressed length of cable under a given preload is proposed. For the inner single cable, a new cable element is presented based on Hermite interpolation. Later, initial cable form is obtained by approximating catenary as a three-point parabola, and the initial values for the nonlinear equations are derived. For the outer double cable, unstressed length is a descriptive variable of the DCS. In view of the constraints on a single cable posed by the guide pulleys, corresponding constraint equations are obtained by introducing the angle of rotation of the MGP, which is a process variable. Under a given preload at an end of single cable, equations for the DCS with a MGP are constructed. Moreover, the tangent stiffness matrixes are derived for quick solution, and unstressed length for the DCS is obtained. On this basis, by changing the partial constraint equations of the DCS, the form-finding analysis of the cable can be achieved. A few numerical examples and comparisons demonstrate the reliability of the proposed new approach for geometrically nonlinear analysis of cables.
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