An efficient method for simulating the dynamic behavior of periodic structures with piecewise linearity

2018 ◽  
Vol 94 (3) ◽  
pp. 2059-2075
Author(s):  
Dongdong He ◽  
Qiang Gao ◽  
Wanxie Zhong
Keyword(s):  
Dynamic Behavior ◽  
Efficient Method ◽  
Periodic Structures ◽  
Piecewise Linearity

An Accurate and Efficient Method for Dynamic Analysis of Two-Dimensional Periodic Structures

2016 ◽  
Vol 08 (02) ◽  
pp. 1650013 ◽  
Author(s):  
Q. Gao ◽  
H. W. Zhang ◽  
W. X. Zhong ◽  
W. P. Howson ◽  
F. W. Williams
Keyword(s):  
Dynamic Response ◽  
Efficient Method ◽  
Algebraic Structure ◽  
Integration Method ◽  
Periodic Structures ◽  
Computational Effort ◽  
Two Dimensional ◽  
Great Efficiency ◽  
Energy Propagation ◽  
Precise Integration

In this paper, an accurate and efficient method is presented for analyzing the dynamic response of two-dimensional (2D) periodic structures. The algebraic structure of the corresponding matrix exponential is analyzed and, based on its special structure, an accurate and efficient method for its computation is proposed. Accuracy is maintained using the precise integration method (PIM), and great efficiency is achieved in the computational effort using the periodic properties of the structure and the energy propagation features of the dynamic system. The proposed method is compared with the conventional Newmark and Runge–Kutta (R–K) methods, and it is shown to be accurate, efficient and extremely frugal in its memory requirements.

scholarly journals Adaptive Rendering of Dynamic 3D Scenes

2019 ◽  
Author(s):  
Вячеслав Гонахчян ◽  
Vyacheslav Gonahchyan
Keyword(s):  
Dynamic Behavior ◽  
Efficient Method ◽  
Execution Time ◽  
Adaptive Method ◽  
Performance Model ◽  
Dynamic Scenes ◽  
Performance Gains ◽  
Polygonal Models

Rendering of dynamic 3d scenes is challenging because it is impossible to perform preprocessing to merge and simplify polygonal models, to precalculate visibility information. The dynamic behavior of objects (visibility change, movement) is causing command buffers rebuilding and rejecting of invisible objects often does not result in performance gains. We propose an adaptive method for visualizing dynamic scenes, which selects the most efficient method for recording and using command buffers and the number of hardware occlusion queries. Proposed adaptive method is based on the performance model, which performs an estimation of the execution time of the main stages of forward rendering. Testing results of the proposed method showed its effectiveness when rendering large dynamic scenes.

Efficient Operator Marching Method for Analyzing Crossed Arrays of Cylinders

2015 ◽  
Vol 18 (5) ◽  
pp. 1461-1481
Author(s):  
Yu Mao Wu ◽  
Ya Yan Lu
Keyword(s):  
Electromagnetic Field ◽  
Efficient Method ◽  
Periodic Structures ◽  
Three Dimensional ◽  
Circular Cylinders ◽  
Geometric Features ◽  
Spatial Direction ◽  
Number Of Layers ◽  
Crossed Arrays ◽  
Marching Method

AbstractPeriodic structures involving crossed arrays of cylinders appear as special three-dimensional photonic crystals and cross-stacked gratings. Such a structure consists of a number of layers where each layer is periodic in one spatial direction and invariant in another direction. They are relatively simple to fabricate and have found valuable applications. For analyzing scattering properties of such structures, general computational electromagnetics methods can certainly be used, but special methods that take advantage of the geometric features are often much more efficient. In this paper, an efficient method based on operators mapping electromagnetic field components between two spatial directions is developed to analyze structures with crossed arrays of circular cylinders. The method is much simpler than an earlier method based on similar ideas, and it does not require evaluating slowly converging lattice sums.

Analysis of periodic laminated fiber-reinforced composite beams in free vibration

2021 ◽  
pp. 107754632110286
Author(s):  
Peter L Bishay ◽  
Julian Rodriguez
Keyword(s):  
Finite Element ◽  
Dynamic Behavior ◽  
Fiber Orientation ◽  
Periodic Structures ◽  
Composite Beams ◽  
Segment Length ◽  
Fiber Reinforced ◽  
Laminated Shell ◽  
Fiber Reinforced Composite ◽  
Reinforced Composite

The dynamic behavior of solid structures is an important aspect that must be considered in the design phase to ensure that the designed structure will have desired response under external excitation. Periodic structures offer various design possibilities that can tailor the dynamic behavior of the structure to match the desired response under a given applied excitation. The use of laminated fiber-reinforced composite materials in periodic structures further increases the design degrees of freedom by introducing new design parameters, such as the number of plies in each periodic patch and their fiber-orientation angles. In this article, the classical lamination theory is integrated with the forward approach of the wave finite element method to analyze periodic fiber-reinforced composite beams in flexural vibration. Since Euler–Bernoulli’s beam theory is used, the proposed approach is much simpler and computationally efficient than using laminated shell finite elements. The article shows the effects of the number of periodic cells, the segment length ratio, the number of plies in each periodic patch, and their fiber-orientation on the first stop band of the beam. The results reported can guide the design of such structures to attenuate vibration amplitudes at specific target frequency bands and avoid undesired dynamic responses. Results have been validated in the 0–2000 Hz frequency range by comparison with finite element laminated shell models.

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