Izvorni znanstveni članak
Strain field in doubly curved surface
Amod Tiwari
; )CAD Laboratory, Indian Institute of Technology Kanpur, Kanpur 208 016, INDIA
Aurobinda Chatterjee
; )CAD Laboratory, Indian Institute of Technology Kanpur, Kanpur 208 016, INDIA
Vinay K. Pathak
; Harcourt Butler Technological Institute Kanpur, Nawabganj, Kanpur-21, INDIA
Sanjay G. Dhande
; Indian Institute of Technology Kanpur, Kanpur 208 016, INDIA
Sažetak
This paper presents algorithm for development of structural and continuous curved surface into a planar and non planar (radial) shape in 3D space. The development process is modeled by application of strain in certain plane from the curved surface to its planar development. A doubly curved surface has been generated for the purpose of technical studies. Important features of the approach include formulations of the coefficients of first fundamental form, second fundamental form, Gaussian curvature and Serret Frenet curve. The approximate strain field is obtained by solving a constrained linear and nonlinear problem in algorithm.
Ključne riječi
doubly curved surface; fundamental forms; Frenet curve radius; Gaussian curvature, strain field; Serret angle
Hrčak ID:
185927
URI
Datum izdavanja:
27.1.2009.
Posjeta: 789 *