Full-order and single-parameter searching analysis of coupled flutter instability for long-span bridges

A full-order and single-parameter searching method (F-S method) for analyzing coupled flutter instability of long-span bridges is proposed based on the full-discretized model of structure. Based on the proper approximation of the circular frequency of complex modes, the characteristic equation of the full-order system is expressed as a complex generalized eigenvalue equation that contains only two variables. The equation is used for flutter analysis by solving the complex generalized eigenvalue problem with an efficient simultaneous iteration method directly. Since its computation is reliable and efficient, the application of the proposed method on the flutter problems of long-span bridges is practical. Moreover, the flutter analysis is performed for Jiangyin Yangtze river suspension bridge with 1385 m main span in the completed stage to illustrate the reliability and effectiveness of the proposed method.

A Simultaneous Iteration Algorithm for Solving Extended Split Equality Fixed Point Problem

We study a kind of split equality fixed point problem which is an extension of split equality problem. We propose a kind of simultaneous iterative algorithm with a way of selecting the step length which does not need any a priori information about the operator norms and prove that the sequences generated by the iterative method converge weakly to the solution of this problem. Some numerical results are shown to confirm the feasibility and efficiency of the proposed methods.

On Dynamics of Spinning Structures

This paper provides details of developments pertaining to vibration analysis of gyroscopic systems, that involves a finite element structural discretization followed by the solution of the resulting matrix eigenvalue problem by a progressive, accelerated simultaneous iteration technique. Thus Coriolis, centrifugal and geometrical stiffness matrices are derived for shell and line elements, followed by the eigensolution details as well as solution of representative problems that demonstrates the efficacy of the currently developed numerical procedures and tools.

A progressive simultaneous iteration solution for dynamic element vibration analysis

Development and employment of dynamic elements can result in substantial gain in solution convergence for vibration analysis, when compared with the usual finite element discretization. Efficient solution of the associated quadratic matrix eigenproblem is crucial in achieving a superior and relatively economical solution. This paper first describes a novel eigensolution of the quadratic matrix equation by a progressive simultaneous iteration method. Free vibration analysis results of a rectangular prestressed membrane are next presented in detail that provides an assessment of relative solution convergence and computing expenses of the two idealization procedures.