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| 1 | Multivariable wavelet finite element for flexible skew thin plate analysis显示文摘Flexible skew thin plate is widely used in mechanical engineering,architectural engineering and structural engineering.High-precision analysis is very important for structural design and improvement.In this paper,the multivariable wavelet finite element(MWFE)based on B-spline wavelet on the interval(BSWI)is constructed for flexible skew thin plate analysis.First,the finite element formulation is derived from multivariable generalized potential energy function.Then the generalized field variables are interpolated and calculated by BSWI.Different from the traditional wavelet finite element,the analysis precision can be improved because the generalized displacement and stress field variables are interpolated and calculated independently,the secondary calculation and the computational error are avoided.In order to verify the effectiveness of the constructed MWFE,several numerical examples are given in the end. | ZHANG XingWu CHEN XueFeng YANG ZhiBo SHEN ZhongJie | 2014 | Science China(Technological Sciences)2014，57，8： | 5 |
| 2 | Wave propagation of laminated composite plates via GPU-based wavelet finite element method显示文摘This paper presents a novel parallel implementation technology for wave-based structural health monitoring (SHM) in laminated composite plates. The wavelet-based B-spline wavelet on he interval (BSWI) element is constructed according to Hamilton’s principle, and the element by element algorithm is parallelly executed on graphics processing unit (GPU) using compute unified device architecture (CUDA) to get the responses in full wave field accurately. By means of the Fourier spectral analysis method,the Mindlin plate theory is selected for wave modeling of laminated composite plates while the Kirchhoff plate theory predicts unreasonably phase and group velocities. Numerical examples involving wave propagation in laminated composite plates without and with crack are performed and discussed in detail. The parallel implementation on GPU is accelerated 146 times comparing with the same wave motion problem executed on central processing unit (CPU). The validity and accuracy of the proposed parallel implementation are also demonstrated by comparing with conventional finite element method (FEM) and the computation time has been reduced from hours to minutes. The damage size and location have been successfully determined according to wave propagation results based on delay-and-sum (DAS). The results show that the proposed parallel implementation of wavelet finite element method (WFEM) is very appropriate and efficient for wave-based SHM in laminated composite plates. | ZUO Hao YANG ZhiBo SUN Yu XU CaiBin CHEN XueFeng | 2017 | Science China(Technological Sciences)2017，60，6： | 4 |
| 3 | 输流曲管面内振动的小波有限元方法研究显示文摘将小波有限元应用于求解输流曲管面内流致振动问题,是小波在数值计算上一个新的尝试。针对输流曲管面内振动高阶微分方程,采用区间样条小波函数作为位移场的插值函数,建立了尺度为4、阶数为6的区间样条小波输流曲管单元,推导了小波单元质量矩阵、小波单元刚度矩阵和小波单元阻尼矩阵,从而获得了输流曲管面内振动的动力学方程组。在数值算例中,计算了输流直管和曲管在几种典型边界条件下的频率,这些数值结果与伽辽金方法、传统有限元方法所得结果吻合较好,并且计算时间短。研究表明,新型小波曲管单元在求解输流曲管面内线性振动问题有一定的优势,进一步的研究可望推广到输流曲管的非线性动力学分析中。 | 曹建华 刘永寿 刘伟 | 2018 | 振动与冲击2018，37，17： | 3 |
| 4 | Wavelet-Based Boundary Element Method for Calculating the Band Structures of Two-Dimensional Phononic Crystals显示文摘A wavelet-based boundary element method is employed to calculate the band structures of two-dimensional phononic crystals,which are composed of square or triangular lattices with scatterers of arbitrary cross sections.With the aid of structural periodicity,the boundary integral equations of both the scatterer and the matrix are discretized in a unit cell.To make the curve boundary compatible,the second-order scaling functions of the B-spline wavelet on the interval are used to approximate the geometric boundaries,while the boundary variables are interpolated by scaling functions of arbitrary order.For any given angular frequency,an effective technique is given to yield matrix values related to the boundary shape.Thereafter,combining the periodic boundary conditions and interface conditions,linear eigenvalue equations related to the Bloch wave vector are developed.Typical numerical examples illustrate the superior performance of the proposed method by comparing with the conventional BEM. | Qi Wei Xingfu Ma Jiawei Xiang | 2021 | Acta Mechanica Solida Sinica2021，34，5： | 0 |
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