# 索膜结构找形分析和裁剪

### 技术文章

001437 2017年05月12日

#### 找形

n1 / R1 + n2 / R2 - p = 0 (1)

- δW = δWint - δWext = t ∙ Ω∫ σ : δêdΩ - Ω∫ p ∙ δudΩ = 0 (2)

#### 生成剪裁图形

Ewarp = 1.600 kN/m,
Eweft = 1.200 kN/m,
vwarp/weft = 0.05,
G = 400 kN/m.

Ewarp = 1.600 kN/m,
Eweft = 1.200 kN/m,
vwarp/weft = 0.05,
G = 10 kN/m.

#### 参考

[1] Otto, F. & Rasch, B. (1996). Finding Form: Towards an Architecture of the Minimal. Fellbach: Edition Axel Menges.
[2] Forster, B. & Mollaert, M. (2004). European Design Guide for Tensile Surface Structures. Brüssel: TensiNet.
[3] Veenendaal, D. & Block, P. (2012). An Overview and Comparison of Structural Form Finding Methods for General Networks. International Journal of Solids and Space Structures 49, pages 3741 - 3753. Amsterdam: Elsevier.
[4] Architen Landrell: Basic Theories of Tensile Fabric Architecture.
[5] Bletzinger, K.-U. & Ramm, E. (1999). A General Finite Element Approach to the Form Finding of Tensile Structures by the Updated Reference Strategy. International Journal of Solids and Space Structures 14, pages 131 - 146. Amsterdam: Elsevier.
[6] Wüchner, R. & Bletzinger, K.-U. (2005). Stress‐Adapted Numerical Form Finding of Pre‐Stressed Surfaces by the Updated Reference Strategy. International Journal for Numerical Methods in Engineering 64, pages 143 - 166. Amsterdam: Elsevier.
[7] Němec, I. et al. (2010). Finite Element Analysis of Structures: Principles and Praxis. Aachen: Shaker.
[8] Moncrieff, E. & Topping, B.-H.-V. (1990). Computer Methods for the Generation of Membrane Cutting Patterns. Computers and Structures 37, pages 441 - 450. Amsterdam: Elsevier.
[9] Bletzinger, K.-U. & Linhard, J. & Wüchner, R. (2010). Advanced Numerical Methods for the Form Finding and Patterning of Membrane Structures. CISM International Centre for Mechanical Sciences 519, pages 133 - 154. Berlin: Springer.
[10] Dlubal Software: Analysis and Design Software for Tensile Membrane Structures.

#### 作者

Ing. Rostislav Lang
doc. Ing. Ivan Němec, CSc.
Ing. Hynek Štekbauser
Institute of Structural Mechanics, FAST VUT v Brně (Faculty of Civil Engineering, Brno University of Technology), FEM consulting Brno

（可要求接中文热线）