Further study of the relation of von Kármán equation for elastic large deflection problem and Schrödinger equation for quantum eigenvalues problem

1987 ◽  
Vol 8 (6) ◽  
pp. 561-568
Author(s):  
Shen Hui-chuan
Keyword(s):  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Large Deflection ◽  
Von Karman ◽  
Von Karman Equation ◽  
Von Kármán ◽  
Large Deflection Problem

scholarly journals Blow-up results for a quasilinear von Karman equation of memory type

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Mi Jin Lee ◽  
Jum-Ran Kang
Keyword(s):  
Blow Up ◽  
Suitable Condition ◽  
Nondecreasing Function ◽  
Initial Energy ◽  
Nonincreasing Function ◽  
Positive Initial Energy ◽  
Von Karman ◽  
Von Karman Equation ◽  
Memory Type ◽  
Von Kármán

Abstract In this paper, we consider the blow-up result of solution for a quasilinear von Karman equation of memory type with nonpositive initial energy as well as positive initial energy. For nonincreasing function $g>0$ g > 0 and nondecreasing function f, we prove a finite time blow-up result under suitable condition on the initial data.

scholarly journals SOME FEATURED OPTIMAL LAY-UP SOLUTIONS FOR COMPOSITE VAT PLATES UNDER BUCKLING, POSTBUCKLING AND LARGE-DEFLECTION POSTBUCKLING CONDITIONS

2021 ◽  
Author(s):  
Sergey Selyugin
Keyword(s):  
Optimality Conditions ◽  
Large Deflection ◽  
Von Karman ◽  
Von Kármán

The paper is devoted to some featured lay-up solutions for optimized composite VAT plates under such conditions as buckling, postbuckling (within the von Karman limits) or large-deflection postbuckling (beyond the von Karman limits). The corresponding optimality conditions are theoretically analyzed. The possible locally orthotropic solutions are identified and discussed.

scholarly journals Blow-up for a viscoelastic von Karman equation with strong damping and variable exponent source terms

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Sun-Hye Park
Keyword(s):  
Lower Bound ◽  
Upper Bound ◽  
Variable Exponent ◽  
Blow Up ◽  
Initial Energy ◽  
Positive Initial Energy ◽  
Von Karman ◽  
Von Karman Equation ◽  
Von Kármán ◽  
Strongly Damped

AbstractIn this article, we deal with a strongly damped von Karman equation with variable exponent source and memory effects. We investigate blow-up results of solutions with three levels of initial energy such as non-positive initial energy, certain positive initial energy, and high initial energy. Furthermore, we estimate not only the upper bound but also the lower bound of the blow-up time.

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