On the Contact Problem of Thin Circular Rings

1965 ◽  
Vol 32 (1) ◽  
pp. 11-20 ◽  
Author(s):  
Chien-Heng Wu ◽  
Robert Plunkett
Keyword(s):  
Contact Problem ◽  
Closed Form ◽  
Constant Curvature ◽  
Complete Solution ◽  
Elliptic Functions ◽  
Numerical Results ◽  
Elastic Contact ◽  
Flat Plates ◽  
Circular Rings

It is well known that the solution of an elastica subjected to end loads can be obtained in terms of elliptic functions. In the present paper, the combined problem of elastic contact between uniform circular rings or cylinders is reduced to a set of end-loaded elasticas. The approach is demonstrated by finding the complete solution in closed form for two unequal rings pressed between rigid anvils of constant curvature. Numerical results are obtained for the set of problems of two rings with equal stiffness but unequal radii compressed between two rigid flat plates.

Love's rectangular contact problem revisited: A complete solution

2016 ◽  
Vol 103 ◽  
pp. 331-342 ◽  
Author(s):  
Xiaoqing Jin ◽  
Feifei Niu ◽  
Xiangning Zhang ◽  
Qinghua Zhou ◽  
Ding Lyu ◽  
...  
Keyword(s):  
Contact Problem ◽  
Complete Solution

scholarly journals He's frequency–amplitude formulation for nonlinear oscillators using Jacobi elliptic functions

2020 ◽  
Vol 39 (4) ◽  
pp. 1216-1223 ◽  
Author(s):  
Alex Elías-Zúñiga ◽  
Luis Manuel Palacios-Pineda ◽  
Isaac H Jiménez-Cedeño ◽  
Oscar Martínez-Romero ◽  
Daniel Olvera Trejo
Keyword(s):  
Elliptic Functions ◽  
Nonlinear Oscillators ◽  
Numerical Results ◽  
Jacobi Elliptic Functions ◽  
Analytical Expression ◽  
Analytical Frequency

In this work, the Duffing’s type analytical frequency–amplitude relationship for nonlinear oscillators is derived by using Hés formulation and Jacobi elliptic functions. Comparison of the numerical results obtained from the derived analytical expression using Jacobi elliptic functions with respect to the exact ones is performed by considering weak and strong Duffing’s nonlinear oscillators.

The Contact Problem for a Rigid Inclusion Pressed Between Two Dissimilar Elastic Half Planes

1981 ◽  
Vol 48 (1) ◽  
pp. 104-108
Author(s):  
G. M. L. Gladwell
Keyword(s):  
Contact Problem ◽  
Plane Strain ◽  
Integral Equations ◽  
Elastic Constants ◽  
Contact Stress ◽  
Rigid Inclusion ◽  
Numerical Results ◽  
Stress Distributions ◽  
Plane Strain Problem

Paper concerns the plane-strain problem of a rigid, thin, rounded inclusion pressed between two isotropic elastic half planes with different elastic constants. Required to find the extents of the contact regions between each plane and the inclusion, and the contact stress distributions. The governing integral equations are solved approximately by using Chebyshev expansions. Numerical results are presented.

scholarly journals Optimal Investment of DC Pension Plan under Incentive Schemes and Loss Aversion

2020 ◽  
Vol 2020 ◽  
pp. 1-14
Author(s):  
Yinghui Dong ◽  
Wenxin Lv ◽  
Siyuan Wei ◽  
Yeyang Gong
Keyword(s):  
Closed Form ◽  
Loss Aversion ◽  
Pension Plan ◽  
Optimal Investment ◽  
Numerical Results ◽  
Managerial Compensation ◽  
Incentive Schemes ◽  
Terminal Wealth ◽  
Portfolio Problem ◽  
Form Representation

We investigate the DC pension manager’s portfolio problem when the manager is remunerated through two schemes for DC pension managerial compensation under loss aversion and minimum guarantee. We apply the concavification technique and a static Lagrangian technique to solve the problem and derive the closed-form representation of the optimal wealth and portfolio processes. Theoretical and numerical results show that the incentive schemes can significantly impact the distribution of the optimal terminal wealth.

Effect of Surface Roughness on Adhesion and Friction of Microfibers in Side Contact

2008 ◽  
Author(s):  
Mircea Teodorescu ◽  
Carmel Majidi ◽  
Homer Rahnejat ◽  
Ronald S. Fearing
Keyword(s):  
Mathematical Model ◽  
Surface Roughness ◽  
Closed Form ◽  
Contact Mechanics ◽  
Elastic Contact ◽  
Linear Elastic ◽  
Multi Scale ◽  
Analytic Approximations ◽  
Effect Of Surface

A multi-scale mathematical model is used to study the effect of surface roughness on the adhesion and friction of microfibers engaged in side contact. Results are compared to closed-form analytic approximations derived from linear elastic contact mechanics.

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