A NEW APPROACH FOR CUTTING PATTERN ANALYSIS OF MEMBRANE STRUCTURES BY SIMULTANEOUS CONSIDERATION ON BOTH EQUILIBRIUM CONDITION AND INITIAL CONFIGURATION

Author(s):  
Takanori YAGI ◽  
Nobuyuki HAGIWARA ◽  
Hiroshi OHMORI ◽  
Tetsuya MATSUI
Author(s):  
J S Dai ◽  
D R Kerr

A new approach to the analysis of statically indeterminate restraint of a rigid body with any arrangement of point contact is presented in this paper. The paper associates the elasticity at restraint contacts with geometric compatibility of the contact points and constructs elastic compatibility equations, which are complementary to the restraint equations. The equations so obtained are then used to augment the restraint equations and lead to an agumented Jacobian matrix. The new approach enables grasps to be analysed and synthesized in a constraint of combined elasticity and geometric compatibility, in addition to the force equilibrium condition. This gives a mathematical basis for the analysis of force distribution of the statically indeterminate restraint. Detailed reasoning and derivations are given followed by both planar and spatial examples.


Author(s):  
Patrick Hanks ◽  
Wulin Ma

Abstract This article presents an interview with Professor Patrick Hanks, a British lexicographer and corpus linguist, who proposes a new approach – a corpus-driven, phraseological approach – to lexicography. Hanks has developed a procedure called Corpus Pattern Analysis (CPA), which is the foundation of The Pattern Dictionary of English Verbs (in progress). The basic aim of CPA is to explore the relationship between word meaning and patterns of word use. Hanks maintains that the verb is ‘the pivot of the clause’. Verb meanings – or, rather, the meanings of clauses – are mapped onto phraseological patterns, rather than just being listed for words in isolation. Associated with this is the Theory of Norms and Exploitations (TNE), which was discussed in his monograph published by MIT Press in 2013. In this interview, Professor Hanks outlines his vision of a phraseological dictionary of the future (an alternative to WordNet). He discusses meaning and grammar in the light of Corpus Pattern Analysis. Specifically, he explains the procedure of Corpus Pattern Analysis, and the objectives of the Pattern Dictionary of English Verbs (PDEV), including the light that such work can shed on the relationship between language and logic. He discusses the relationship between PDEV and English grammar, his evaluation of generative linguistics, and his views on Noam Chomsky. He also highlights the contributions made by linguists of the past to the understanding of the nature of meaning in language. He goes on to suggest that any new bilingual dictionary with Chinese as a source language should be based on careful analyses of actual language use, both in Chinese and in the various target languages.


Author(s):  
A. Goldbach ◽  
K.-U. Bletzinger

The design cycle of membrane structures consists of three interactive and highly non-linear disciplines. Formfinding is performed in order to find a geometry that allows the prestressed structure to carry loads through tension only. Once a formfound geometry is set, structural analysis needs to assess the structure's safety and usability. The most challenging step is the cutting pattern generation, which aims at finding the planar pieces which can be elevated to build spatial membrane structures with a minimum deviation from the desired shape and prestress state.<br/> Isogeometric B-Rep Analysis (IBRA) allows the designer to perform analyses on the original CAD model without leaving the CAD environment. High quality is ensured for the geometry and the mechanical approximation by using Non-Uniform Rational B-Splines (NURBS). Additionally, the topology information of multipatches can be transferred to the analysis in order to enrich the design space. Trimmed and coupled surfaces can thus be included in the analysis. Parametric models allow the designer to examine a large variety of geometrical and mechanical entities with one model.<br/> The advantages of the CAD-integration with IBRA for the highly interactive design of structural membranes are shown in this contribution.


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