We develop an approach to reduce the governing equation of motion for the nonlinear vibration of a clamped laminated composite to the Duffing equation in a decoupled modal form. The method of weighted residuals enables such a reduction for laminates with clamped boundary conditions. Both rigidly clamped and loosely clamped boundary conditions are analyzed using this method. The reduction method...

 Abstract—Many natural and manmade dynamical systems that are modeled as large nonlinear multi-oscillator systems like power systems are hard to analyze. For such systems, we propose a nonlinear modal decoupling (NMD) approach inversely constructing as many decoupled nonlinear oscillators as the system’s oscillation modes so that individual decoupled oscillators can be easily analyzed to infer...

Second order matrix equations arise in the description of real dynamical systems. Traditional modal control approaches utilise the eigenvectors of the undamped system to diagonalise the system matrices. A regrettable consequence of this approach is the discarding of residual off-diagonal terms in the modal damping matrix. This has particular importance for systems containing skew-symmetry in th...

An alternative method for port decoupling and matching of arrays with small inter-element spacing is proposed. The approach is based on the inherent decoupling effect obtained by feeding the eigenmodes of the array. For this purpose, a modal feed network is introduced. The decoupled external ports of the feed network may individually be matched using conventional matching circuits. Such a syste...

among different discretization approaches, finite difference method (fdm) is widely used for acoustic and elastic full-wave form modeling. an inevitable deficit of the technique, however, is its sever requirement to computational resources. a promising solution is parallelization, where the problem is broken into several segments, and the calculations are distributed over different processors. ...

the present paper sets out to investigate the syntactic category of persian modals, šâyad ‘perhaps’ and bâyad ‘must’. the syntactic category of the two modal elements has been viewed differently by different scholars. a number of scholars argue that both šâyad and bâyad are modal auxiliaries, while others claim that they both are modal adverbs. we propose that šâyad is a modal adverb and bâyad ...

A novel element with arbitrary domain shape by using decoupled scaled boundary finite element (DSBFEM) is proposed for eigenvalue analysis of 2D vibrating rods with different boundary conditions. Within the proposed element scheme, the mode shapes of vibrating rods with variable boundary conditions are modelled and results are plotted. All possible conditions for the rods ends are incorporated ...

In this paper we study the question under which conditions a linear multi-modal system is disturbance decoupled. We establish necessary and sufficient geometric conditions from which the existing results on switched linear systems and conewise linear systems can be recovered as special cases. Also, we apply these conditions to a class of linear complementarity systems in order to obtain a more ...