Tangential Developable Surfaces and Shells: New Results of Investigations

Authors:

Sergey N. Krivoshapko,Iraida A. Mamieva,Andrey D. Razin,

DOI NO:

https://doi.org/10.26782/jmcms.2019.03.00031

Keywords:

Tangential Developable,Design of A Torse,Geodesic Curve,ParaBending,Tangential Developable Shell Geometric Modeling,Stress-Strain State ofthe Shell,

Abstract

After publication of a monograph Geometry of Ruled Surfaces with Cuspidal Edge and Linear Theory of Analysis of Tangential Developable Shells (Krivoshapko, 2009) with 386 references, new papers, devoted to geometry, application and strength analyses of thin shells with the middle developable surface were published. Some results of investigations have newness and definite scientific and practical in-terest but some works improve methods presented before or propose new variants of application of tangent developable surfaces. In a paper, new results derived past the last 10 years and connected with needs of engineer practice and architecture of man-ufactured articles, structures, and erections, are analyzed. The analyses of the whole spectrum of investigations of torse surfaces and shells presented in the publications till present time will help researchers concerned to plan further investigations and to economize their time not repeating a conclusion of theorems, equations, and proposi-tions the well-known already.

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