今日更新:International Journal of Solids and Structures 1 篇,Thin-Walled Structures 3 篇
Ribbed elastic metasurface with lateral scalability for flexural wave manipulation
Yingrui Ye, Chunxia Liu, Xiaopeng Wang, Jie Sun, Xiaowei Zhang
doi:10.1016/j.ijsolstr.2024.112904
具有横向可扩展性的肋形弹性超表面,用于弯曲波操纵
With the goal of engineering applications, the scalability and structural portability of elastic metasurfaces have become significant and attractive. However, most existing elastic metasurfaces cannot be arbitrarily scalable, which will inevitably limit their applications. Here, a novel conceptual design of ribbed elastic metasurfaces (REMs) is proposed for anomalous wavefront manipulation of flexural waves in thin plates. Ribbed subunits, as functional subunits of REMs, are characterized by simple constructions. The phase shift mechanism for the flexural waves across the ribbed subunits is revealed by analyzing the lowest dispersion bands. The analytical model for ribbed subunits is also established based on the equivalent orthotropic plate theory and transfer matrix method (TMM) to accurately predict the phase shift and amplitude of the transmitted waves. In addition, lateral scalability can be observed when the ratio of rib width to subunit width is constant, owing to the constant equivalent bending stiffness. By considering the lateral scalability of subunits, the continuous adjustment of the refraction angle can be perfectly achieved. The deflecting and focusing functionalities of the designed REMs are numerically and experimentally demonstrated. Both simulated and experimental results are consistent with theoretical results. Since ribbed plates are typical load-bearing structures in engineering, our design has broad application prospects, including but not limited to vibration control, energy harvesting, and structural health monitoring.
随着工程应用的目标,弹性元表面的可扩展性和结构可移植性变得越来越重要和有吸引力。然而,大多数现有的弹性元表面不能任意扩展,这将不可避免地限制它们的应用。本文提出了一种用于薄板弯曲波异常波前处理的肋形弹性超表面(REMs)的新概念设计。肋状亚基是rem的功能亚基,结构简单。通过对最低色散带的分析,揭示了弯曲波在肋状亚基上的相移机制。基于等效正交各向异性板理论和传递矩阵法(TMM)建立了肋状亚单元的解析模型,以准确预测透射波的相移和振幅。此外,当肋宽与亚单元宽度之比一定时,由于等效抗弯刚度不变,可以观察到横向可扩展性。考虑到子单元的横向可扩展性,可以很好地实现折射角的连续调整。数值和实验证明了所设计的REMs的偏转和聚焦功能。模拟和实验结果与理论结果一致。由于肋板是工程中典型的承重结构,我们的设计具有广阔的应用前景,包括但不限于振动控制、能量收集、结构健康监测等。
Energy-based Equations for Distortional Buckling of Zed and Rack Section Columns
Guilherme C. de Salles, Daniel C.T. Cardoso, Eduardo de M. Batista
doi:10.1016/j.tws.2024.112052
Zed和齿条截面柱畸变屈曲的能量方程
This paper develops energy-based equations for symmetric distortional buckling in columns with Zed and rack sections. Using the Rayleigh quotient method, two sets of displacement functions are assumed for each cross-section type and closed-form expressions depending on geometrical parameters of the cross-sections are obtained for critical length and buckling stress. Additionally the proposed deformed shapes allow a closed-form derivation of the warping profile of the cross-sections. A parametric study is conducted to compare the derived expressions to GBTUL numerical results for a wide range of cross-section geometries. The average results σcr,proposed/σcr,GBTUL of the study are 0.995 ± 0.005 for Zed sections and 0.988 ± 0.025 for rack sections. Therefore the proposed equations may be applied in practical design of axially compressed thin-walled cold-formed members as an alternative to computational tools.
本文建立了基于能量的 Zed 和齿条截面支柱对称变形屈曲方程。利用瑞利商法,为每种截面类型假设了两组位移函数,并根据截面的几何参数获得了临界长度和屈曲应力的闭式表达式。此外,根据所提出的变形形状,还可以闭式推导出横截面的翘曲轮廓。通过参数研究,将推导出的表达式与 GBTUL 数值结果进行了比较,适用于多种截面几何形状。研究的平均结果σcr,proposed/σcr,GBTUL 对 Zed 截面为 0.995 ± 0.005,对齿条截面为 0.988 ± 0.025。因此,所提出的方程可用于轴向受压薄壁冷弯型钢的实际设计,作为计算工具的替代。
Improving the Local and Distortional Resistance of CFS Trapezoidal Self-Supporting Roof Members
Marcos Neves, Cilmar Basaglia, Dinar Camotim, Heitor Araujo
doi:10.1016/j.tws.2024.112054
提高CFS梯形自支撑屋面构件的局部抗变形能力
This paper reports the development, numerical implementation and application of a methodology to perform the multi-objective optimisation, with respect to local and distortional failures, of cold-formed steel (CFS) trapezoidal cross-section shapes used in members belonging to self-supporting roof systems and manufactured by bending the steel sheets with roll-forming machines. Initially, a brute-force approach is adopted to search for optimal unstiffened cross-section shapes of members subjected to positive (sagging) and negative (hogging) bending moments. Next, an optimisation procedure based on a Genetic Algorithm (GA) is employed to find stiffened cross-sections that (i) outperform the original (plain/unstiffened) ones, as far as the resistance against local and distortional failures is concerned, and (ii) can be fabricated with minimal additional cost, through the sole addition of small intermediate stiffeners, whose possible locations are pre-defined in accordance with a map of executable fold-line positions – the original cross-section typology, overall dimensions and wall angles are retained. The design approach adopted to estimate the member ultimate strengths is based on the Direct Strength Method (DSM), and Generalised Beam Theory (GBT) is used to calculate the elastic buckling stresses due to bending. The application and capabilities of the proposed methodology are illustrated, by means of numerical results presented in terms of cross-section families belonging to optimal Pareto Fronts – an excellent performance of the procedure was found in all cases.
本文报告了一种方法的发展,数值实现和应用,以执行多目标优化,关于局部和扭曲失效,冷弯钢(CFS)梯形截面形状的成员属于自支撑屋顶系统和弯曲钢板与卷成型机制造。首先,采用蛮力法寻找受正弯矩(下垂)和负弯矩(占用)作用的构件的最优非加筋截面形状。接下来,采用基于遗传算法(GA)的优化程序来找到(i)优于原始(普通/未加筋)截面的加筋截面,就抵抗局部和扭曲失效而言,以及(ii)可以通过单独添加小型中间加筋以最小的额外成本制造。其可能的位置是根据可执行折叠线位置的地图预先定义的-保留原始的横截面类型,整体尺寸和墙壁角度。构件极限强度估算采用直接强度法(DSM),弯曲弹性屈曲应力计算采用广义梁理论(GBT)。通过属于最优帕累托前沿的截面族的数值结果,说明了所提出的方法的应用和能力-在所有情况下都发现了该程序的优异性能。
Buckling of steel–composite cylindrical pressure hulls with initial delamination
Chenyang Di, Jian Zhang, Yunsen Hu, Chao Kang
doi:10.1016/j.tws.2024.112042
钢-复合材料圆柱耐压壳体初始分层的屈曲
This study investigated the buckling behavior of steel–composite cylindrical pressure hulls with initial delamination. Hydrostatic tests were conducted on three groups of steel–composite cylindrical pressure hulls with different delamination parameters, and the study determined the relationships between the delamination parameters and buckling behavior of delaminated pressure hulls. Numerical analyses were conducted using linear subspace and nonlinear Riks methods, followed by a comprehensive comparison of the numerical and experimental results. Numerical and response surface analyses were conducted, and two sets of practical equations were proposed to evaluate the linear and nonlinear buckling loads of steel–composite cylindrical pressure hulls. The results indicated that initial delamination reduced the buckling loads by 50%, with the ratio of delamination length to total length being the key factor determining the nonlinear buckling loads of delaminated steel–composite cylindrical pressure hulls.
研究了具有初始分层的钢-复合材料圆柱耐压壳体的屈曲行为。对三组具有不同分层参数的钢-复合圆柱耐压壳体进行了静水试验,确定了分层参数与分层耐压壳体屈曲行为的关系。采用线性子空间和非线性Riks方法进行了数值分析,并对数值结果和实验结果进行了综合比较。通过数值分析和响应面分析,提出了钢-复合材料圆柱耐压壳体线性和非线性屈曲载荷的两套实用方程。结果表明,初始分层可使失稳载荷降低50%,而分层长度与总长度之比是决定失稳钢-复合材料圆柱耐压壳非线性失稳载荷的关键因素。