scholarly journals Nontrivial solutions for impulsive elastic beam equations of Kirchhoff-type

2020 ◽  
Vol 2020 (1) ◽  
Keyword(s):  
Elastic Beam ◽  
Nontrivial Solutions ◽  
Kirchhoff Type ◽  
Beam Equations ◽  
Elastic Beam Equations

scholarly journals Two solutions to Kirchhoff-type fourth-order implusive elastic beam equations

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Jian Liu ◽  
Wenguang Yu
Keyword(s):  
Iterative Method ◽  
Variational Methods ◽  
Critical Point ◽  
Fourth Order ◽  
Elastic Beam ◽  
Kirchhoff Type ◽  
Newton Iterative Method ◽  
Beam Equations ◽  
Critical Point Theorems ◽  
Elastic Beam Equations

AbstractIn this paper, the existence of two solutions for superlinear fourth-order impulsive elastic beam equations is obtained. We get two theorems via variational methods and corresponding two-critical-point theorems. Combining with the Newton-iterative method, an example is presented to illustrate the value of the obtained theorems.

Variational approaches to impulsive elastic beam equations of Kirchhoff type

2016 ◽  
Vol 61 (7) ◽  
pp. 931-968 ◽  
Author(s):  
Shapour Heidarkhani ◽  
Ghasem A. Afrouzi ◽  
Massimiliano Ferrara ◽  
Shahin Moradi
Keyword(s):  
Elastic Beam ◽  
Kirchhoff Type ◽  
Beam Equations ◽  
Variational Approaches ◽  
Elastic Beam Equations

scholarly journals Non-trivial solutions for nonlinear fourth-order elastic beam equations

2011 ◽  
Vol 62 (4) ◽  
pp. 1862-1869 ◽  
Author(s):  
Gabriele Bonanno ◽  
Beatrice Di Bella ◽  
Donal O’Regan
Keyword(s):  
Fourth Order ◽  
Elastic Beam ◽  
Beam Equations ◽  
Elastic Beam Equations

Dynamics of Elastic Manipulators With Prismatic Joints

1992 ◽  
Vol 114 (1) ◽  
pp. 41-49 ◽  
Author(s):  
K. W. Buffinton
Keyword(s):  
Equations Of Motion ◽  
Elastic Beam ◽  
Alternative Form ◽  
Specific System ◽  
Beam Equations ◽  
Prismatic Joints ◽  
Dynamics And Control ◽  
And Control ◽  
Two Degree Of Freedom ◽  
Elastic Beam Equations

The purpose of this investigation is to study the formulation of equations of motion for flexible robots containing translationally moving elastic members that traverse a finite number of distinct support points. The specific system investigated is a two-degree-of-freedom manipulator whose configuration is similar to that of the Stanford Arm and whose translational member is regarded as an elastic beam. Equations of motion are formulated by treating the beam’s supports as kinematical constraints imposed on an unrestrained beam, by discretizing the beam by means of the assumed modes technique, and by applying an alternative form of Kane’s method which is particularly well suited for systems subject to constraints. The resulting equations are programmed and are used to simulate the system’s response when it performs tracking maneuvers. The results provide insights into some of the issues and problems involved in the dynamics and control of manipulators containing highly elastic members connected by prismatic joints.

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