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Buckling and Multiple Equilibrium States ofViscoelastic Rectangular Plates 被引量:1
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作者 CHENG Chang jun ZHANG Neng hui (Shanghai Institute of Applied Mathematics and Mechanics, and College of Sciences, Shanghai University) 《Advances in Manufacturing》 SCIE CAS 1999年第3期192-198,共7页
On the basis of Karman's theory of thin plates with large deflection, the Boltzmann law on linear viscoelastic materials and the mathematical model of dynamic analysis on viscoelastic thin plates, a set of nonline... On the basis of Karman's theory of thin plates with large deflection, the Boltzmann law on linear viscoelastic materials and the mathematical model of dynamic analysis on viscoelastic thin plates, a set of nonlinear integro partial differential equations is first presented by means of a structural function introduced in this paper. Then, by using the Galerkin technique in spatial field and a backward difference scheme in temporal field, the set of nonlinear integro partial differential equations reduces to a system of nonlinear algebraic equations. After solving the algebraic equations, the buckling behavior and multiple equilibrium states can be obtained. 展开更多
关键词 viscoelastic rectangular plate qausi static buckling critical time multiple equilibrium state
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On the Multiple Equilibrium of the Development of Tropical Cyclone in Nonlinear CISK Model 被引量:1
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作者 李天明 朱永褆 《Advances in Atmospheric Sciences》 SCIE CAS CSCD 1989年第4期447-456,共10页
By using non-static atmosphere equations including basic current, heating force and friction, we discuss the balance amplitude of vertical motion in the conditions of constant heating force, linear and non-linear inte... By using non-static atmosphere equations including basic current, heating force and friction, we discuss the balance amplitude of vertical motion in the conditions of constant heating force, linear and non-linear interaction between large-scale ascending motion and diabatic heating force. In the non-linear condition, the multiple equilibrium feature of the tropical cyclone development is discussed and the reason of the sudden varying of tropical cyclone intensity is studied preliminarily. 展开更多
关键词 On the multiple equilibrium of the Development of Tropical Cyclone in Nonlinear CISK Model
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A mixed stochastic user equilibrium model considering influence of advanced traveller information systems in degradable transport network 被引量:4
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作者 程琳 楼小明 +1 位作者 周静 马捷 《Journal of Central South University》 SCIE EI CAS CSCD 2018年第5期1182-1194,共13页
Advanced traveler information systems (ATIS) can not only improve drivers' accessibility to the more accurate route travel time information, but also can improve drivers' adaptability to the stochastic network cap... Advanced traveler information systems (ATIS) can not only improve drivers' accessibility to the more accurate route travel time information, but also can improve drivers' adaptability to the stochastic network capacity degradations. In this paper, a mixed stochastic user equilibrium model was proposed to describe the interactive route choice behaviors between ATIS equipped and unequipped drivers on a degradable transport network. In the proposed model the information accessibility of equipped drivers was reflected by lower degree of uncertainty in their stochastic equilibrium flow distributions, and their behavioral adaptability was captured by multiple equilibrium behaviors over the stochastic network state set. The mixed equilibrium model was formulated as a fixed point problem defined in the mixed route flows, and its solution was achieved by executing an iterative algorithm. Numerical experiments were provided to verify the properties of the mixed network equilibrium model and the efficiency of the iterative algorithm. 展开更多
关键词 mixed stochastic user equilibrium model degradable transport network advanced traveler information systems (ATIS) drivers' behavioral adaptability multiple equilibrium behaviors fixed point problem
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Multi-scroll hidden attractors and multi-wing hidden attractors in a 5-dimensional memristive system 被引量:3
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作者 胡晓宇 刘崇新 +2 位作者 刘凌 姚亚鹏 郑广超 《Chinese Physics B》 SCIE EI CAS CSCD 2017年第11期120-126,共7页
A novel 5-dimensional(5D) memristive chaotic system is proposed, in which multi-scroll hidden attractors and multiwing hidden attractors can be observed on different phase planes. The dynamical system has multiple l... A novel 5-dimensional(5D) memristive chaotic system is proposed, in which multi-scroll hidden attractors and multiwing hidden attractors can be observed on different phase planes. The dynamical system has multiple lines of equilibria or no equilibrium when the system parameters are appropriately selected, and the multi-scroll hidden attractors and multi-wing hidden attractors have nothing to do with the system equilibria. Particularly, the numbers of multi-scroll hidden attractors and multi-wing hidden attractors are sensitive to the transient simulation time and the initial values. Dynamical properties of the system, such as phase plane, time series, frequency spectra, Lyapunov exponent, and Poincar′e map, are studied in detail. In addition, a state feedback controller is designed to select multiple hidden attractors within a long enough simulation time. Finally, an electronic circuit is realized in Pspice, and the experimental results are in agreement with the numerical ones. 展开更多
关键词 multi-scroll hidden attractors multi-wing hidden attractors multiple lines equilibria no equilibrium
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