scholarly journals An asymptotic variational problem modeling a thin elastic sheet on a liquid, lifted at one end

2020 ◽  
Vol 43 (8) ◽  
pp. 4956-4973
Author(s):  
David Padilla‐Garza
Keyword(s):  
Variational Problem ◽  
Elastic Sheet ◽  
Problem Modeling

scholarly journals Hydroelastic wake on a thin elastic sheet floating on water

2019 ◽  
Vol 4 (1) ◽  
Author(s):  
Jean-Christophe Ono-dit-Biot ◽  
Miguel Trejo ◽  
Elsie Loukiantcheko ◽  
Max Lauch ◽  
Elie Raphaël ◽  
...  
Keyword(s):  
Elastic Sheet

Unfolding a Curved Elastic Sheet

1981 ◽  
Vol 23 (5) ◽  
pp. 217-219 ◽  
Author(s):  
C.-Y. Wang
Keyword(s):  
Flat Plate ◽  
Numerical Integration ◽  
Flexural Rigidity ◽  
Elliptic Functions ◽  
Applied Force ◽  
Relative Importance ◽  
Dimensional Parameter ◽  
Elastic Sheet ◽  
Leaf Springs ◽  
Force Displacement

A curved elastic sheet is flattened on a rigid flat plate by vertical end forces. The problem is governed by a non-dimensional parameter, B, which signifies the relative importance of flexural rigidity to the applied force and the natural radius. The elastica equations are solved by elliptic functions, perturbation for small B, and numerical integration. Force-displacement characteristics and sheet configurations are found. The results may be applied to sandwiched leaf springs.

Dynamics of a Contact Structure Along a Vector Field of its Kernel

2008 ◽  
Vol 8 (1) ◽  
Author(s):  
Abbas Bahri ◽  
Yongzhong Xu
Keyword(s):  
Vector Field ◽  
Variational Problem ◽  
Contact Structure ◽  
Contact Form ◽  
Dual Form

AbstractIn this paper we prove that in order to define the homology of [3], the hypothesis that there exists a vector field in the kernel of the contact form which defines a dual form with the same orientation is not essential. The technique is quantitative: as we introduce a large amount of rotation near the zeroes of the vector field in the kernel, we track down the modification of the variational problem and provide bounds on a key quantity (denoted by τ).

Sign in / Sign up

Export Citation Format

Share Document