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Non-Parametric Shape Design of Free-Form Shells Using Fairness Measures and Discrete Differential Geometry 基于公平测度和离散微分几何的自由壳非参数形状设计
IF 0.8 Q2 Arts and Humanities Pub Date : 2021-06-01 DOI: 10.20898/j.iass.2021.007
M. Ohsaki, K. Hayakawa
A non-parametric approach is proposed for shape design of free-form shells discretized into triangular mesh. The discretized forms of curvatures are used for computing the fairness measures of the surface. The measures are defined as the area of the offset surface and the generalized form of the Gauss map. Gaussian curvature and mean curvature are computed using the angle defect and the cotangent formula, respectively, defined in the field of discrete differential geometry. Optimization problems are formulated for minimizing various fairness measures for shells with specified boundary conditions. A piecewise developable surface can be obtained without a priori assignment of the internal boundary. Effectiveness of the proposed method for generating various surface shapes is demonstrated in the numerical examples.
提出了一种离散成三角形网格的自由壳体形状设计的非参数化方法。曲率的离散形式用于计算表面的公平性度量。测度被定义为偏移曲面的面积和高斯映射的广义形式。分别利用离散微分几何中定义的角度缺陷和余切公式计算高斯曲率和平均曲率。针对具有特定边界条件的壳体,提出了各种公平性措施最小化的优化问题。分段可展曲面不需要先验地指定内边界即可得到。数值算例验证了该方法生成各种曲面形状的有效性。
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引用次数: 0
Structural Morphogenesis for RC Free-Form Surface Shell with Arbitrary Boundary Shape And Opening - Comparison of Optimal Solution and Application of Decent Solutions Search Method 具有任意边界形状和开口的RC自由曲面壳的结构形态发生——最优解的比较与斜解搜索方法的应用
IF 0.8 Q2 Arts and Humanities Pub Date : 2021-06-01 DOI: 10.20898/j.iass.2021.014
Kodai Nagata, T. Honma
In this paper, artificial bee colony (ABC) to obtain the decent solutions that the authors proposed is applied to the structural morphogenesis for RC (Reinforced-Concrete) free-form surface shell with arbitrary boundary shape. The 'decent solutions' have relatively high evaluation solutions that maintain the diversity of the design variable space, including the global optimal solution and local optimal solutions. In this paper, we focus on an opening of RC free form surface shell structures considering design and functionality, and the structural morphogenesis procedure that considers constraints of the excessive bending moment caused by the presence of an opening in the shell is proposed. Numerical results demonstrate the efficacy of a structural morphogenesis procedure that simultaneously considers shell shape, thickness, and opening as design variables. Furthermore, it is shown that proposed structural morphogenesis using decent solutions search method can support a designer's idea of architectural forms having a relationship between shape and mechanical behavior at the initial stage of design.
本文将人工蜂群法(ABC)应用于具有任意边界形状的RC(钢筋混凝土)自由曲面壳的结构形态发生问题。“体面解”具有相对较高的评价解,保持了设计变量空间的多样性,包括全局最优解和局部最优解。在本文中,我们关注RC自由曲面壳结构考虑设计和功能的开口,并提出了考虑壳中存在开口引起的过度弯矩约束的结构形态形成过程。数值结果证明了同时考虑壳体形状、厚度和开度作为设计变量的结构形态形成过程的有效性。此外,研究表明,采用体面的解搜索方法提出的结构形态发生可以支持设计师在设计初始阶段的建筑形态与力学行为之间存在关系的想法。
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引用次数: 0
Evolutionary Topology Optimization of Spatial Steel-Concrete Structures 空间钢-混凝土结构的进化拓扑优化
IF 0.8 Q2 Arts and Humanities Pub Date : 2021-06-01 DOI: 10.20898/j.iass.2021.015
Yu Li, Y. Xie
Topology optimization techniques based on finite element analysis have been widely used in many fields, but most of the research and applications are based on single-material structures. Extended from the bi-directional evolutionary structural optimization (BESO) method, a new topology optimization technique for 3D structures made of multiple materials is presented in this paper. According to the sum of each element's principal stresses in the design domain, a material more suitable for this element would be assigned. Numerical examples of a steel- concrete cantilever, two different bridges and four floor systems are provided to demonstrate the effectiveness and practical value of the proposed method for the conceptual design of composite structures made of steel and concrete.
基于有限元分析的拓扑优化技术在许多领域得到了广泛的应用,但大多数研究和应用都是基于单一材料结构。在双向进化结构优化(BESO)方法的基础上,提出了一种新的多材料三维结构拓扑优化技术。根据设计域中每个元件的主应力之和,将指定更适合该元件的材料。通过一个钢-混凝土悬臂梁、两种不同的桥梁和四层体系的算例,验证了该方法在钢-混凝土组合结构概念设计中的有效性和实用价值。
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引用次数: 6
Numerical Impact Analysis of Folding-Induced Tubular Thin-walled Energy-dissipating Elements 折叠诱导管状薄壁消能元件的数值冲击分析
IF 0.8 Q2 Arts and Humanities Pub Date : 2021-06-01 DOI: 10.20898/j.iass.2021.013
E. Ruocco, Antonia Giovenale, Danilo Di Giacinto
This paper deals with the numerical impact analysis of tubular thin-walled steel-made elements with induced folding for energy dissipation application. The excellent deceleration of the impacting mass of axial collapsing structures favors their use in energy dissipation applications, such as impact resistance and rockfall protection. Dynamic Finite Element analyses have been carried out to evaluate the performance of vertical assemblies of cold-formed steel cell-shaped elements welded on each other to form collapsible tubular elements. In turn, these have been gathered in groups and restrained by galvanized steel wires to create modules. The axial collapse, which is the most effective energy absorption mechanism, has been triggered by shaping the elements' edge as serpentine. In the analysis, several assembly configurations have been subjected to a freefall rhombicuboctahedron-shaped rigid block impact; Falling height, impact angle, and block mass have been varied to investigate their effect on the performance. The numerical results show a good agreement when compared to those obtained through a real-scale experiment.
本文研究了用于消能应用的具有诱导折叠的管状薄壁钢构件的数值冲击分析。轴向坍塌结构的冲击质量具有良好的减速性能,有利于其在抗冲击和落石防护等消能应用中的应用。已经进行了动态有限元分析,以评估相互焊接以形成可折叠管状单元的冷弯型钢单元的垂直组件的性能。反过来,这些被聚集在一起,并用镀锌钢丝约束,以创建模块。轴向塌陷是最有效的能量吸收机制,它是通过将元素的边缘塑造成蛇形来触发的。在分析中,几种装配配置都受到了自由落体菱形次八面体形状刚性块体的冲击;坠落高度、冲击角和块体质量都发生了变化,以研究它们对性能的影响。数值结果与实际实验结果相比较,显示出良好的一致性。
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引用次数: 0
Illustrating Membrane-Dominated Regimes in Pressurized Thin Shells 说明薄膜在加压薄壳中占主导地位
IF 0.8 Q2 Arts and Humanities Pub Date : 2021-06-01 DOI: 10.20898/j.iass.2021.017
A. Niewiarowski, S. Adriaenssens, R. M. Pauletti
Pressurized thin-wall structures cover a broad range of applications, including storage tanks, pressurized rubber flood barriers, and large span enclosures. To accurately model such structures, the analyst must select the appropriate mechanical formulation (e.g.membrane vs shell). Membranes are assumed to have negligible bending stiffness and respond to compression by wrinkling; shells resist axial compression (before buckling) and bending efficiently. While theoretical research on these differences is vast, this study aims to explicitly clarify the consequences of this choice and permit a comparison of error between membrane and shell formulations. Therefore, this paper presents a parametric study of canonical pressurized thin-wall structural geometries (i.e.semi-cylinder, hemisphere) to illustrate the transitions between membrane and bending dominant behavior. The mathematical models of a pneumatic 5-parameter shell and membrane are presented and employed to quantify the effects of variables such as thickness and geometry on the amount of membrane, bending, and shear energy. The effects of inflation pressure, self-weight, and hydrostatic loads are also considered. The graphical results, presented in terms of dimensionless quantities in the design space, are general and should be of interest to the theorist and practitioner alike.
受压薄壁结构具有广泛的应用,包括储罐、受压橡胶防洪堤和大跨度围护结构。为了准确地对这种结构进行建模,分析员必须选择合适的机械配方(例如薄膜与外壳)。假定膜具有可忽略不计的弯曲刚度,并通过褶皱对压缩作出响应;壳体有效地抵抗轴向压缩(在屈曲之前)和弯曲。虽然对这些差异的理论研究非常广泛,但本研究旨在明确阐明这种选择的后果,并允许对膜和壳配方之间的误差进行比较。因此,本文对典型受压薄壁结构几何形状(即半圆柱体、半球体)进行了参数研究,以说明薄膜和弯曲主导行为之间的转变。提出了气动五参数壳体和膜的数学模型,并将其用于量化厚度和几何形状等变量对膜的量、弯曲和剪切能的影响。还考虑了充气压力、自重和静水载荷的影响。以设计空间中的无量纲量表示的图形结果是通用的,理论家和实践者都应该感兴趣。
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引用次数: 0
Parametric Analysis of the Dome of the Sports Palace of Mexico City 墨西哥城体育宫穹顶的参数分析
IF 0.8 Q2 Arts and Humanities Pub Date : 2021-03-01 DOI: 10.20898/J.IASS.2021.004
E. González, G. Marco, C. Gonzalez, J. Galindo
The Sports Palace of Mexico City was built in 1968 and became a turning point in the design and construction of laminar shells, leading the transition from reinforced concrete to metallic grid structures. Felix Candela observed that the use of concrete in designing laminar structures was limited to achieve great spans for sport spaces; he thus changed his first proposal for using a concrete laminar shell to a metallic structure. However, in the first architectural conception of the metallic structure, a lighter cable structure was proposed respecting the built geometry, with the intent of using high-strength wires in the upper and lower chords of the arches. In this paper, three different proposals are modeled. The first uses a 3D modelled concrete shell for understanding the geometry. The others use the final geometry and are analyzed using advanced NURBS (Non-uniform rational Bspline) modeling techniques with Rhinoceros and a parametric design with Grasshopper, where the parameters and results obtained in previous tests are compared with the results obtained in the simulations. Paneling plugins, forces simulation add-ons, finite elements analysis and environmental design simulation tools in Grasshopper are used to compare the results under normal design conditions.
墨西哥城体育宫建于1968年,成为层流壳设计和建造的转折点,引领了从钢筋混凝土到金属网格结构的过渡。Felix Candela观察到,在设计层流结构时,混凝土的使用仅限于实现运动空间的大跨度;因此,他改变了他最初的建议,使用混凝土层流壳为金属结构。然而,在金属结构的第一个建筑概念中,提出了一种更轻的电缆结构,尊重建筑的几何形状,意图在拱门的上下和弦中使用高强度的电线。本文对三种不同的方案进行了建模。第一个使用3D建模的混凝土外壳来理解几何形状。其他部分使用最终的几何形状,并使用rhino的先进NURBS(非均匀有理b样条)建模技术和Grasshopper的参数化设计进行分析,其中将先前测试中获得的参数和结果与模拟中获得的结果进行比较。使用Grasshopper中的嵌板插件、受力仿真插件、有限元分析和环境设计仿真工具对正常设计条件下的结果进行比较。
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引用次数: 0
Buckling Load Estimation of Two-way Grid Domes Stiffened by Diagonal Braces Under Vertical Load 垂直荷载作用下斜撑加筋双向网架穹顶屈曲荷载估计
IF 0.8 Q2 Arts and Humanities Pub Date : 2021-03-01 DOI: 10.20898/J.IASS.2021.001
S. Kato, S. Nakazawa, Y. Mukaiyama, T. Iwamoto
The present study proposes an efficient scheme to estimate elastic-plastic buckling load of a shallow grid dome stiffened by diagonal braces. The dome is circular in plan. It is assumed to be subject to a uniform vertical load and to be supported by a substructure composed of columns and anti-earthquake braces. Based on FEM parametric studies considering various configurations and degrees of local imperfections, a set of formulations are presented to estimate the elastic-plastic buckling load. In the scheme, the linear buckling load, elastic buckling load, and imperfection sensitivity are first presented in terms of related parameters, and the elasticplastic buckling load is then estimated by a semi-empirical formula in terms of generalized slenderness ratio using a corresponding plastic load. For the plastic load, the present scheme adopts a procedure that it is calculated by a linear elastic FEM analysis, while an alternative formula for the plastic load is also proposed based on a shell membrane theory. The validity of the estimation scheme is finally confirmed through comparison with the results based on FEM nonlinear analysis. The formulations are so efficient and simple that the estimation may be conducted for preliminary design purposes almost with a calculator. .
本文提出了一种估算斜撑加筋浅网格穹顶弹塑性屈曲载荷的有效方法。圆顶在平面上是圆形的。假定它受到均匀的垂直荷载,并由由柱和抗震支撑组成的下部结构支撑。在考虑各种结构形式和局部缺陷程度的有限元参数研究的基础上,提出了一套弹塑性屈曲载荷估计公式。该方案首先用相关参数表示线性屈曲载荷、弹性屈曲载荷和缺陷敏感性,然后用相应的塑性载荷用广义长细比的半经验公式估计弹塑性屈曲载荷。对于塑性荷载,本方案采用了线弹性有限元分析的计算方法,并基于壳膜理论提出了塑性荷载的替代计算公式。最后通过与有限元非线性分析结果的比较,验证了估计方案的有效性。这些公式是如此有效和简单,以至于几乎可以用计算器进行初步设计目的的估计。
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引用次数: 0
Calculation and Analysis of Hydraulic Automatic Climbing Formwork Equipment for Super-high Building Construction 超高层建筑施工液压自动爬模设备的计算与分析
IF 0.8 Q2 Arts and Humanities Pub Date : 2021-03-01 DOI: 10.20898/J.IASS.2021.003
Juwei Xia, Yun-long Yao, Xiao-shun Wu, Yuan-hong Chen
Hydraulic automatic climbing formwork equipment is widely used in super-high-rise building construction due to its advantages of simple operation, fast construction speed, low cost, and high automation. Quantitative calculation of the mechanical state of climbing formwork equipment is an important technical means of ensuring safety during super-high building construction. This work thus introduces a hydraulic climbing formwork equipment structure and subsequently analyzes the construction process and the main working state of the hydraulic climbing formwork equipment. Then, for the design of the outer climbing frame of the hydraulic climbing formwork, an approximate analytical method for solving the node reaction force is proposed. Finally, combined with the actual engineering, the calculation results of the approximate analytical method and the finite element method are compared, and the calculation and analysis methods of the hydraulic climbing formwork equipment frame and key nodes are introduced. The calculation analysis process and related conclusions can be used as engineering reference for similar projects.
液压自动爬模设备由于其操作简单、施工速度快、成本低、自动化程度高等优点,在超高层建筑施工中得到了广泛的应用。对攀爬模板设备的力学状态进行定量计算是保证超高层建筑施工安全的重要技术手段。介绍了一种液压爬模设备的结构,分析了液压爬模设备的施工过程和主要工作状态。然后,针对液压爬坡模板外爬坡框架的设计,提出了求解节点反力的近似解析方法。最后,结合工程实际,比较了近似解析法和有限元法的计算结果,介绍了液压爬模设备框架和关键节点的计算分析方法。计算分析过程及相关结论可供类似工程参考。
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引用次数: 3
Global Stability Behaviour of Single-Layer Reticulated Domes Created Using a New Nomenclature 用新命名法创建的单层网状穹顶的全局稳定性行为
IF 0.8 Q2 Arts and Humanities Pub Date : 2021-01-01 DOI: 10.20898/j.iass.2021.012
Ranjith Kolakkattil, Arul S Jayachandran
The primary objective of the paper is to investigate the post buckled behaviour of the single-layered Kite geometry dome developed using a novel crystallographic parameterisation principle. Both triangulated and non-triangulated domes are evolved based on the crystallographic parameterisation principles. It brings in a unique nomenclature for identifying different tessellations in reticulated single-layer dome configurations. This nomenclature brings in a physical meaning to dome tessellations instead of being called by the inventors such as Schwedler dome etc. In this paper, the effect of surface pattern on the load capacity of dome configuration is demonstrated with the comparison of domes having different surface patterns. The comparison of post-buckling behaviour of two different single-layer dome configurations - Kiewitt dome and Kite dome is presented. Despite having rigid nodal joints, the load capacity of the dome is significantly reduced when subjected to unsymmetrical and collateral loads due to the localised effect of these loads and the increased chance of snap-through compared to symmetrical uniform loading acting all over the structure. The Kite geometry have higher performance under uniform gravity loading with a low rise to span ratio.
本文的主要目的是研究使用新颖的晶体参数化原理开发的单层风筝几何圆顶的后屈曲行为。三角穹顶和非三角穹顶都是基于晶体学参数化原理发展而来的。它带来了一种独特的命名法,用于识别网状单层圆顶结构中的不同镶嵌。这种命名法给圆屋顶镶嵌带来了物理意义,而不是由施韦德勒圆屋顶等发明者所命名的。本文通过对具有不同表面图案的穹顶结构的比较,论证了表面图案对穹顶结构承载能力的影响。比较了两种单层穹顶结构Kiewitt穹顶和Kite穹顶的后屈曲性能。尽管穹顶有刚性节点,但穹顶的承载能力在承受不对称和附带载荷时显著降低,这是由于这些载荷的局部影响,与整个结构的对称均匀载荷相比,穹顶的断裂几率增加。风筝几何形状在低升跨比的均匀重力载荷下具有更高的性能。
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引用次数: 2
Form Finding and Analysis of an Active Bending- Pantographic Bamboo Space Structure 主动弯曲受电弓竹材空间结构的寻形与分析
IF 0.8 Q2 Arts and Humanities Pub Date : 2021-01-01 DOI: 10.20898/J.IASS.2021.005
M. Seixas, L. E. Moreira, P. Stoffel, J. Bina
This paper presents the form finding and structural analysis of an active bending-pantographic bamboo space structure that integrates self-stressed active bending arches, tensile pantographic grids and supporting bipods. The structure was designed to roof an open-aired amphitheater in the tropical climate. The structure has a self-supporting behavior and a mobile assembly procedure, applying the hinged flexible connection (HFC) mechanism. The structure was developed initially through small-scale physical models, then, on computer models and full-scale prototypes. Empirical models were used to determine the minimum bending radius of the arches and served to embed data for the computer models. The active bending arch (ABA) applied Phyllostachys aurea bamboo rods subjected to axial loads up to the elastic limit of strain on the beams. Steel cables and diagonal rods were connected to the curved beams, avoiding buckling in the plane of the arches. Modular pantographic grids were deployed over the ABA, generating double curved space frames with free-form geometries. The coupling of active bending arches and pantographic grids resulted in a hybrid structure, with mutual operation of bending-active and form-active structural modules. The developed structure used bio-based materials for a sustainable engineering design, with lightweight techniques and low-carbon footprint.
本文介绍了一种由自应力主动弯曲拱、拉伸受电弓网格和支撑两脚架组成的主动弯曲受电弓竹空间结构的形式寻找和结构分析。该结构被设计为热带气候下露天圆形剧场的屋顶。该结构采用铰链柔性连接(HFC)机构,具有自支撑特性和可移动装配过程。该结构最初是通过小型物理模型开发的,然后是计算机模型和全尺寸原型。经验模型用于确定拱的最小弯曲半径,并为计算机模型嵌入数据。主动弯拱采用毛竹杆,在梁上施加达到应变弹性极限的轴向荷载。钢索和斜杆连接在弯曲的梁上,避免了拱平面的弯曲。模块化受电弓网格部署在ABA上,产生具有自由几何形状的双弯曲空间框架。主动弯拱与受电弓网格的耦合形成了主动弯拱与主动弯拱相互作用的混合结构。开发的结构采用生物基材料进行可持续工程设计,具有轻量化技术和低碳足迹。
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引用次数: 1
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Journal of the International Association for Shell and Spatial Structures
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