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131.
A mathematical method to solve structural problems, using parameter-transfer finite elements (P-TFE) was recently proposed by the authors [1] [2] [3]. The proposed transfer finite element approach is able to create a mathematical model of a structure, taking into account directly the whole behaviour of the structure under dynamic, aerodynamic, and thermal actions, and not by assembling, in a separate fashion, the stiffness and the mass matrix on one side and the external load vector as performed by the classical finite element procedure.The purpose of this paper is to apply the above methodology to optimization problems, in particular to obtain the minimum structural weight for a beam, under primary constraints on buckling load or natural frequencies.The use of P-TFE in the field of structural optimization overcomes most difficulties of the usual techniques of solution and the element is particularly useful in the evaluation of the sensitivity matrix.The formulation of the optimization problem based on P-TFE is presented and some applications are studied. The numerical results obtained are compared with other existing methodologies and briefly discussed.
List of Symbols {B} m vector of the generalized state variables - {C} m vector of integration constants - [I] unit matrix - EI bending stiffness - A cross-sectional area - u adimensional thickness - l beam length - M,M bending moment - [N] m shape function ofm-th order - [N*] shape function atx 0 - P axial load - [R] i transfer matrix of thei-th element - T,T shear force - w transverse displacement - x adimensional independent variable - x 0 value ofx at the left of the element - {Y} vector of state variables - {Y*} imposed condition atx 0 - 0m Kronecker delta with the first pedix always set equal to zero - normalized eigenfrequency - normalized buckling load - mass density 相似文献
Sommario Gli autori hanno già proposto un metodo per studiare problemi strutturali [1] [2] [3], introducendo una nuova metodologia di discretizzazione, basata sull'impiego di elementi finiti di trasferimento, funzioni esplicite di un parametro, indicati come P-TFE. Tali elementi sono in grado di rappresentare, in similitudine alla funzione di trasferimento, il comportamento completo dell'elemento strutturale in esame, soggetto ad azioni dinamiche, aerodinamiche e termiche; sono parimenti in grado di produrre, in similitudine al metodo degli elementi finiti, un modello matematico discreto di un continuo.Scopo del presente lavoro è di applicare detta metodologia a problemi di ottimizzazione, in particolare alla ricerca del minimo peso per una trave che mantenga inalterate le sue caratteristiche di carico critico o le frequenze naturali di vibrazione.Vengono quindi presentati alcuni risultati numerici dei casi esaminati e confrontati con quelli ottenuti da altri autori con l'impiego di altre metodologie.
List of Symbols {B} m vector of the generalized state variables - {C} m vector of integration constants - [I] unit matrix - EI bending stiffness - A cross-sectional area - u adimensional thickness - l beam length - M,M bending moment - [N] m shape function ofm-th order - [N*] shape function atx 0 - P axial load - [R] i transfer matrix of thei-th element - T,T shear force - w transverse displacement - x adimensional independent variable - x 0 value ofx at the left of the element - {Y} vector of state variables - {Y*} imposed condition atx 0 - 0m Kronecker delta with the first pedix always set equal to zero - normalized eigenfrequency - normalized buckling load - mass density 相似文献
132.
M. -L. Tan Y. H. Qian I. Goldhirsch S. A. Orszag 《Journal of statistical physics》1995,81(1-2):87-103
Many continuum theories for granular flow produce an equation of motion for the fluctuating kinetic energy density (granular temperature) that accounts for the energy lost in inelastic collisions. Apart from the presence of an extra dissipative term, this equation is very similar in form to the usual temperature equation in hydrodynamics. It is shown how a lattice-kinetic model based on the Bhatnagar-Gross-Krook (BGK) equation that was previously derived for a miscible two-component fluid may be modified to model the continuum equations for granular flow. This is done by noting that the variable corresponding to the concentration of one species follows an equation that is essentially analogous to the granular temperature equation. A simulation of an unforced granular fluid using the modified model reproduces the phenomenon of clustering instability, namely the spontaneous agglomeration of particles into dense clusters, which occurs generically in all granular flows. The success of the continuum theory in capturing the gross features of this basic phenomenon is discussed. Some shear flow simulations are also presented. 相似文献
133.
P. Vieillefosse 《Journal of statistical physics》1994,74(5-6):1195-1209
The Coulomb pair density matrixG
(r, r) for attractive and repulsive potentials is not only interesting for determining the two-particle effective potentials, but it is also essential in numerical studies of quantum systems. A high-temperature approximation is obtained for logG
(r, r), in the form of simple integrals or series expansions; large-distance expansions are also given. 相似文献
134.
David Ruelle 《Journal of statistical physics》1996,85(1-2):1-23
We analyze different mechanisms of entropy production in statistical mechanics, and propose formulas for the entropy production ratee() in a state . When is steady state describing the long term behavior of a system we show thate()0, and sometimes we can provee()>0. 相似文献
135.
论述了量子力学的经典极限问题,并运用狄拉克判据研究了库仑散射的经典极限;指出库仑散射存在一经典极限的“黑箱”禁区,在经典极限的“黑箱”禁区以外,库仑散射的经典理论是量子理论的很好近似。 相似文献
136.
分布式多媒体信息点播系统(DMIoDS)要求其多媒体存储服务器能够同时为大量的客户提供实时的信息服务,为了保证每个客户的QoS要求,系统必须提供接纳控制机制以限制客户的数量.首先从理论上描述了一种适合于DMIoDS中多媒体存储服务器的统计型接纳控制算法SACA,并对统计过程中产生的可弃帧的分配问题进行了深入的研究,提出了可丢弃帧分配的数学模型,保证了每个客户的基本QoS要求,为DMIoDS系统的设计提供了理论依据 相似文献
137.
李元成 《青岛大学学报(自然科学版)》1998,11(2):33-36
本文在同时考虑经典变质量和相对论变质量的情况下,由相对论性成有D’Alembert原理推导出变质量高阶非线性非完整系统的相对论性Kane方程。 相似文献
138.
一种压电复合材料层合板机电耦合有限单元 总被引:1,自引:0,他引:1
基于压电复合材料层合板经典理论,建立了一种四边形机电耦合有限单元.所建单元具有m个电自由度,可直接模拟单元中的电压作用和检测电压输出;单元每一节点具有5个位移自由度,可计及复合材料层合板的拉弯耦合变形.给出了各类刚度矩阵的形式,简述了利用Hamilton原理推导出机电耦合基本运动方程的过程,并根据所推导的有限元素和基本方程编制了程序并进行了计算,所得结果与文献中的计算和试验结果相吻合. 相似文献
139.
海浪统计资料对船舶波浪弯矩设计值的影响 总被引:2,自引:0,他引:2
对船舶特别是超规范船舶进行结构的直接计算设计时,设计人员应合理选择船舶航行海域的海浪长期统计资料,根据船舶的装载工况及实际可能达到的航速,借用线性理论或非线性理论进行波浪弯矩的长期预报来确定设计值.文中就一艘大型集装箱船舶,按五个典型海域的海浪统计资料,对波浪弯矩及波浪合成弯矩作了长期预报计算,并与IACS的统一纵强度要求UR-S11的结果作比较和分析,给出了对船舶结构直接计算设计有指导意义的几点结论. 相似文献
140.
本文讨论了两种多元统计方法在作物生态区归类上的应用,给出了计算方法及计算机程序设计的步骤,并根据实例,进行了具体的分析研究。 相似文献