Analytical solution for the dynamic analysis of a delaminated composite beam traversed by a moving constant force

2012 ◽  
Vol 19 (10) ◽  
pp. 1524-1537 ◽  
Author(s):  
Mohammad H Kargarnovin ◽  
Mohammad T Ahmadian ◽  
Ramazan-Ali Jafari-Talookolaei
Keyword(s):  
Analytical Solution ◽  
Dynamic Analysis ◽  
Composite Beam ◽  
Constant Force

Dynamic analysis of generally laminated composite beam with a delamination based on a higher-order shear deformable theory

2013 ◽  
Vol 49 (2) ◽  
pp. 141-162 ◽  
Author(s):  
Ramazan-Ali Jafari-Talookolaei ◽  
Maryam Abedi ◽  
Mohammad H Kargarnovin ◽  
Mohammad T Ahmadian
Keyword(s):  
Dynamic Analysis ◽  
Composite Beam ◽  
Laminated Composite ◽  
Higher Order ◽  
Laminated Composite Beam ◽  
Shear Deformable

An Analytical Solution to the Electrostatic Actuation of an Asymmetric Combdrive

1999 ◽  
Author(s):  
J.-L. Andrew Yeh ◽  
Norman C. Tien ◽  
Chung-Yuen Hui
Keyword(s):  
Analytical Solution ◽  
Closed Form ◽  
Complex Variable ◽  
Electrostatic Actuation ◽  
Peak Force ◽  
Constant Force ◽  
Electrostatic Forces ◽  
Critical Engagement ◽  
Out Of Plane

Abstract A model for the electrostatic forces generated by an asymmetric combdrive has been developed. Using complex variable techniques, an analytical solution to out-of-plane electrostatic actuation is obtained in closed form. The peak force depends on the thickness of the movable fingers and the amount of overlap between the combs. In addition, the in-plane actuation of an in-plane interdigitated combdrive can also be interpreted using our solution. For an in-plane combdrive, the critical engagement length of the combs, which is required for generating a constant force with variation within 1%, is a factor of 1.24 times the separation gap.

scholarly journals Buckling of asymmetrically delaminated three-dimensional composite beam: Analytical solution

2011 ◽  
Vol 42 (7) ◽  
pp. 2047-2054 ◽  
Author(s):  
A. Kroflič ◽  
M. Saje ◽  
I. Planinc ◽  
D. Zupan
Keyword(s):  
Analytical Solution ◽  
Composite Beam ◽  
Three Dimensional

scholarly journals A contact problem of bending of two beams with the internal joint

2021 ◽  
pp. 37-42
Author(s):  
Mikhail Osipenko ◽  
Keyword(s):  
Analytical Solution ◽  
Contact Problem ◽  
Composite Beam ◽  
Optimization Problem ◽  
Mathematical Formulation ◽  
Concentrated Force ◽  
Cubic Equation ◽  
Internal Joint ◽  
Uniqueness Of The Solution ◽  
The Given

The joint bending of two Bernoulli–Euler’s beams is considered. Each beam has one end fixed and the other free. The beams have the different lengths and thicknesses. The long beam is loaded by the concentrated force. This beam is composite as it includes the internal joint. There is the frictionless unilateral contact between the beams. The elastic lines of the beams are to be found. This problem is reduced to finding of the density of forces of interaction between the beams and the constant that describes the unknown term in the displacement of the unrestrained part of the composite beam. The mathematical formulation of this contact problem is propounded. The density is assumed to be the sum of piecewise continuous function and delta-functions describing the concentrated forces. The uniqueness of the solution of the problem is proved and the analytical solution is constructed. Two possible contact patterns are found out. The former is contact at one point at the end of the short beam. The latter is contact at the same point and at one more point located at the unrestrained part of the composite beam. The coordinate of this point is the root of the cubic equation. The obtained analytical solution is used for the optimization of the structure. The optimization problem is to find the beams thicknesses that minimize the maximum stress for the given loading, beams lengths and the overall deflection. This problem is solved numerically for some values of the given parameters. The hypothesis of the equal-stressed optimum structure is set up on the basis of the numerical results. This hypothesis enables to construct the analytical solution of the optimization problem.

Dynamic analysis of composite beam and floors with deformable connection using plate, bar and interface elements

2019 ◽  
Vol 184 ◽  
pp. 247-256 ◽  
Author(s):  
Wanderson Gonçalves Machado ◽  
Amilton Rodrigues da Silva ◽  
Francisco de Assis das Neves
Keyword(s):  
Dynamic Analysis ◽  
Composite Beam ◽  
Interface Elements
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