• Title/Summary/Keyword: form-finding

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Modified nonlinear force density method for form-finding of membrane SAR antenna

  • Xu, Rui;Li, DongXu;Liu, Wang;Jiang, JianPing;Liao, YiHuan;Wang, Jie
    • Structural Engineering and Mechanics
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    • v.54 no.6
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    • pp.1045-1059
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    • 2015
  • Form-finding for cable-membrane structures is a delicate operation. During the last decades, the force density method (FDM) was considered to be an efficient method to address the problem. Many researchers were devoted to improving this method and proposed many methods such as natural force density method (NFDM), improved nonlinear force density method (INFDM), et al. In this paper, a modified nonlinear force density method (MNFDM) is proposed. In this method, the stresses of membrane elements were transformed to the force-densities of cable nets by an equivalent relationship, and then they can be used as initial conditions. By comparing with the forming finding results by using the FDM, NFDM, INFDM and MNFDM, it had demonstrated that the MNFDM presented in this paper is the most efficient and precise.

Form-finding Analysis of Cable Networks Considering a Flexibility of the Structures for Mesh Reflector Antennas (구조 유연도를 고려한 메쉬 반사판 안테나의 케이블 네트워크 형상 설계)

  • Roh, Jin-Ho;Choi, Hye-Yoon;Jung, Hwa-Young;Kim, Hyo-Tae;Yun, Ji-Hyeon
    • Journal of Aerospace System Engineering
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    • v.16 no.4
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    • pp.68-76
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    • 2022
  • The purpose of this paper was to design the cable networks for mesh reflector antennas, considering the flexibility of structures. An effective form-find methodology is proposed. The whole parts of the cable networks are described by the absolute nodal coordinate formulation. Additionally, nonlinear deformation of the cable can be obtained. The form-finding analysis of the reflector with standard configuration is performed, to validate the proposed methodology. The truss ring structure is numerically modeled using the frame elements. To consider the flexibility of the truss ring as well as the cable net structure, an iteration analysis between the truss ring and the cable net under tensional forces is also performed in the form-finding process. The finial configuration of the reflector with tensioned cable networks is demonstrated.

Form-finding of Tensegrity Systems by using Frequency Constraints (진동수 목적함수를 이용한 텐세그리티 시스템의 형상탐색기법)

  • Lee, Seung Hye;Lee, Jae Hong;Kang, Joo Won
    • Journal of Korean Society of Steel Construction
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    • v.28 no.5
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    • pp.337-344
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    • 2016
  • In this study, a form-finding method of tensegrity systems by using the force density method combined with the stiffness matrix method was presented. Numerous studies have been made on form-finding methods of the tensegrity systems. However, these methods are limited in the tensegrity systems with multiple null space of the equilibrium matrix. The proposed method can uniquely define a single integral feasible set of force densities for the structures. In order to draw maximum natural frequency that can lead a maximum stiffness of the tensegrity systems, a constrained maximization problem is formulated in the genetic algorithm. Several numerical examples are presented to prove dfficiency in searching for self-equilibrium congifurations of tensegrity systems with multiple self-stress states. A good performance of the proposed method has been shown in the results.

A novel approach to the form-finding of membrane structures using dynamic relaxation method

  • Labbafi, S. Fatemeh;Sarafrazi, S. Reza;Gholami, Hossein;Kang, Thomas H.K.
    • Advances in Computational Design
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    • v.2 no.3
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    • pp.123-141
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    • 2017
  • Solving a system of linear or non-linear equations is required to analyze any kind of structures. There are many ways to solve a system of equations, and they can be classified as implicit and explicit techniques. The explicit methods eliminate round-off errors and use less memory. The dynamic relaxation method (DR) is one of the powerful and simple explicit processes. The important point is that the DR does not require to store the global stiffness matrix, for which it just uses the residual loads vector. In this paper, a new approach to the DR method is expressed. In this approach, the damping, mass and time steps are similar to those of the traditional method of dynamic relaxation. The difference of this proposed method is focused on the method of calculating the damping. The proposed method is expressed such that the time step is constant, damping is equal to zero except in steps with maximum energy and the concentrated damping can be applied to minimize the energy of system in this step. In this condition, the calculation of damping in all steps is not required. Then the volume of computation is reduced. The DR method for form-finding of membrane structures is employed in this paper. The form-finding of the three plans related to the membrane structures with different loading is considered to investigate the efficiency of the proposed method. The numerical results show that the convergence rate based on the proposed method increases in all cases than other methods.

A "Dynamic Form-Finding" Approach to Environmental-Performance Building Design

  • Yao, Jia-Wei;Lin, Yu-Qiong;Zheng, Jing-Yun;Yuan, Philip F.
    • International Journal of High-Rise Buildings
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    • v.7 no.2
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    • pp.145-151
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    • 2018
  • Newly-designed high-rise buildings, both in China and abroad, have demonstrated new innovations from the creative concept to the creative method. from the creative concept to the creative method. At the same time, digital technology has enabled more design freedom in the vertical dimension. "Twisting" has gradually become the morphological choice of many city landmark buildings in recent years. The form seems more likely to be driven by the interaction of aesthetics and structural engineering. Environmental performance is often a secondary consideration; it is typically not simulated until the evaluation phase. Based on the research results of "DigitalFUTURE Shanghai 2017 Workshop - Wind Tunnel Visualization", an approach that can be employed by architects to design environmental-performance buildings during the early stages has been explored. The integration of a dynamic form-finding approach (DFFA) and programming transforms the complex relationship between architecture and environment into a dialogue of computer language and dynamic models. It allows the design to focus on the relationship between morphology and the surrounding environment, and is not limited to the envelope form itself. This new concept of DFFA in this research consists of three elements: 1) architectural form; 2) integration of wind tunnel and dynamic models; and 3) environmental response. The concept of wind tunnel testing integrated with a dynamic model fundamentally abandons the functional definition of the traditional static environment simulation analysis. Instead it is driven by integral environmental performance as the basic starting point of morphological generation.

Observations of a endometrial stromal sarcoma in the rat uterus wall (Rat의 자궁벽에 발생된 stromal sarcoma의 관찰)

  • Kwak, Soo-dong;Kim, Chong-sup
    • Korean Journal of Veterinary Research
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    • v.34 no.3
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    • pp.435-439
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    • 1994
  • The present observation was focussed mainly on the histopathological and immunohistochemical finding of the tumor developing from the outside of rat uterus wall. In gross finding, this tumor were a oval form mass and 0.75cm and 1cm in greatest demension. The sectioned surface showed uniform, solid, gray-white. In histopathological finding, the tumor showed the form of lymphoid nodule-like structure and was composed of the cells with karryorrhexis, karyolysis and necrosis in the central zone, mature cells in the paracentral zone, and concentric layers of compressed, flattened and atrophied smooth muscle fibers by the proliferating of the cells closely resembling endometrial stromal ells in the peripheral zone and a few smaller nodule-like structure in certain areas of the peripheral zone. In immunohistochemical observations, the proliferating cells presents only among the concentric layers of the smooth muscle fibers in the peripheral zone. Labeling index of proliferating cells in the peripheral zone was $4.34{\pm}1.28%$. These tumor cells did not metastasized in another orgns and labeling index was low, So it was concluded that this tumor was benign stomal sarcoma.

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Approximate Linearization of Nonlinear Systems (비선형 시스템의 근사 선형화)

  • 남광희;이균경;탁민제
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.40 no.7
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    • pp.690-695
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    • 1991
  • The ability to linearize a nonlinear system by feedback and coordinate change reduces to finding an integrating factor for a one-form which is determined from the system dynamics. Utilizing Taylor series expansion of this one-form, we characterize approximate linearizabilitu. A constructive method is derived for approximate linearization up to order 2.

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Optimal prestress of Tensegrity Structures for External Load (텐세그러티 구조의 외력에 대한 적정 프리스트레스 결정)

  • Ahn, Jung-Tae;Lee, Jae-Hong
    • Journal of Korean Association for Spatial Structures
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    • v.13 no.1
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    • pp.59-67
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    • 2013
  • This paper presents a new numerical method to analyse tensegrity structures by using singular value decomposition and force method. The tensegrity system consisting of compressive and tensle elements are pin-jointed system. Tensegrity structures, unlike the general structure should be preceded by form-finding. Tensegrity structures form-finding of the self-equilibrium stress stability, seeking to have the process. In this study, tensegrity structures when subjected to external loads, find the optimal pre-stress values was studied.