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1.
云天铨 《应用数学和力学(英文版)》1988,9(5):449-453
The axially symmetric torsion of rigid circular shaft of varying diameter embedded in an elastic half space is studied by
line-loaded integral equation method (LLIEM), where the problem is formulated by distributions of ficitious fundamental loads
PRCHS (point ring couple in half space) along the axis of symmetry in interval of the shaft and is reduced to a one-dimensional
and non-singular Fredholm integral equation of the first kind and is easily solved numerically. Numerical examples of torsin
of rigid conic, cylinder, conical-cylinder embedded in an elastic half space are given and compared with the known result
obtained by the others. The exact solution of torsion of rigid half sphere embedded in an elastic half space is also presented.
Project Supported by the National Science Foundation of China. 相似文献
2.
3.
When using H∞ techniques to design decentralized controllers for large systems,the whole system is divided into subsystems, which are analysed using H∞ control theorybefore being recombined. An analogy was established with substructural analysis instructural mechanics, in which H∞ decentralized control theory corresponds to substructuralmodal synthesis theory so that the optimal H∞ norm of the whole system corresponds to thefundamental vibration frequency of the whole structure. Hence, modal synthesismethodology and the extended Wittrick-Williams algorithm were transplanted from structuralmechanics to compute the optimal H∞ norm of the control system. The orthogonality and theexpansion theorem of eigenfunctions of the subsystems H∞ control are presented in part(I) of the paper. The modal synthesis method for computation of the optimal H∞ norm ofdecentralized control systems and numerical examples are presented in part (Ⅱ). 相似文献
4.
When using H∞ techniques to design decentralized controllers for large systems, the whole system is divided into subsystems, which are analysed using H∞ control theorybefore being recombined. An analogy was established with substructural analysis instructural mechanics, in which H∞ decentralized control theory corresponds to substructuralmodal synthesis theory so that the optimal H∞ norm of the whole system corresponds to thefundamental vibration frequency of the whole structure. Hence, modal synthesismethodology and the extended Wittrick-Williams algorithm were transplanted from structuralmechanics to compute the optimal H∞ norm of the control system. The orthogonality and theexpansion theorem of eigenfunctions of the subsystems H~ control are presented in part (I)of the paper. The modal synthesis method for computation of the optimal H∞ norm ofdecentralized control systems and numerical examples are presented in part (Ⅱ). 相似文献
5.
This paper investigates robust filter design for linear discrete-time impulsive systems with uncertainty under H∞ performance. First, an impulsive linear filter and a robust H∞ filtering problem are introduced for a discrete-time impulsive systems. Then, a sufficient condition of asymptotical stability and H∞ performance for the filtering error systems are provided by the discrete-time Lyapunov function method. The filter gains can be obtained by solving a set of linear matrix inequalities (LMIs). Finally, a numerical example is presented to show effectiveness of the obtained result. 相似文献
6.
In this paper, we investigate the problem of designing ℋ∞ filter for a class of continuous-time uncertain singular systems with nonlinear perturbations, which can be realized in practice.
The perturbation is a time-varying function of the system state and satisfies a Lipschitz constraint. The design objective
is to guarantee that a prescribed upper bound on an ℋ∞ performance of the robust filter is attained for all possible energy-bounded input disturbances and all admissible uncertainties
and which can be implemented on-line to get a good replica of the state. We first establish sufficient condition for the existence
and uniqueness of solution to the singular system connected with the normal filter. Using a linear matrix inequality (LMI)
format, we then provide a sufficient condition for the asymptotic stability of the realizable ℋ∞ filter. Then by means of a convex analysis procedure the filter gain matrices are derived and an important special case is
readily deduced. Finally, a numerical example is presented to illustrate the theoretical developments. 相似文献
7.
In this paper, after taking the effect of axis force on bending into consideration, the general potential energy for the circular double articulated arch is established undergoing vertical distributive load g0/cos2θ. With sufficient engineering precision, the fourth approximations to the destabilizing critical load of the arch under t his load are obtained by Ritz method. The approximations to the critical load ta ble are listed for various center angles of arch, and are contrasted with the critical load circular arch undergoing radial uniform load. Some reference results have been obtained. 相似文献
8.
TheT
ε
*
integral was calculated on the surface of single edge notched, three-point bend (SE(B)) specimens using experimentally obtained
displacements. Comparison was made withT
ε
*
calculated with the measured surface displacements andT
ε
*
calculated at several points through the thickness of a finite element (FE) model of the SE(B) specimen. Good comparison
was found between the surfaceT
ε
*
calculated from displacements extracted from the FE model and the surfaceT
ε
*
calculated from experimentally obtained displacements. The computedT
ε
*
integral was also observed to decrease as the crack front was traversed from the surface to the mid-plane of the specimen.
Mid-planeT
ε
*
values tend to be approximately 10% of the surface values. 相似文献
9.
GENERALIZEDSTRONGLYNONLINEARQUASI-COMPLEMENTARITYPROBLEMSLiHong-mei(李红梅)DingXie-ping(丁协平)(SichuanNormalUniversity),Chengdu(Re... 相似文献
10.
Infinite-Dimensional Control of Nonlinear Beam Vibrations by Piezoelectric Actuator and Sensor Layers 总被引:1,自引:0,他引:1
An infinite-dimensional approach for the active vibration control of a multilayered straight composite piezoelectric beam is presented. In order to control the excited beam vibrations, distributed piezoelectric actuator and sensor layers are spatially shaped to achieve a sensor/actuator collocation which fits the control problem. In the sense of von Kármán a nonlinear formulation for the axial strain is used and a nonlinear initial boundary-value problem for the deflection is derived by means of the Hamilton formalism. Three different control strategies are proposed. The first one is an extension of the nonlinear H-design to the infinite-dimensional case. It will be shown that an exact solution of the corresponding Hamilton–Jacobi–Isaacs equation can be found for the beam under investigation and this leads to a control law with optimal damping properties. The second approach is a PD-controller for infinite-dimensional systems and the third strategy makes use of the disturbance compensation idea. Under certain observability assumptions of the free system, the closed loop is asymptotically stable in the sense of Lyapunov. In this way, flexural vibrations which are excited by an axial support motion or by different time varying lateral loadings, can be suppressed in an optimal manner. A numerical example serves both to illustrate the design process and to demonstrate the feasibility of the proposed methods. 相似文献