Recursive algorithm for the distribution of characteristic impedance of an elastic rod producing a prescribed impact force history on a given elastic rod

2021 ◽  
pp. 104133
Author(s):  
J. Burgert ◽  
W. Seemann ◽  
B. Lundberg
Keyword(s):  
Impact Force ◽  
Recursive Algorithm ◽  
Characteristic Impedance ◽  
Elastic Rod

An analytical model to predict the impact response of one-dimensional structures

2016 ◽  
Vol 22 (12) ◽  
pp. 2253-2268 ◽  
Author(s):  
Mohammad Tahaye Abadi
Keyword(s):  
Differential Equation ◽  
Analytical Solution ◽  
Impact Loading ◽  
Impact Force ◽  
Displacement Function ◽  
Impact Response ◽  
Elastic Rod ◽  
Base Function ◽  
One Dimensional ◽  
The Impact

An analytical solution method is presented for the transient axial response of one-dimensional structures subjected to impact loading. The transient structural response is expressed as a series of the impact loading function and its progressive shifting values depending on both material position and time scale. The governing differential equation on the impact force is derived considering the general solution and constitutive equation of the contact interface. The analytical solution of differential equation yields a recursive function describing the impact force and displacement function of the total geometry. Depending on the contact surface roughness and the material properties, an impact function is introduced as a base function for impact response. The procedure is implemented to determine the shock waves generated at the collision of the elastic rod on the rigid surface and two elastic rods. The analytical solution also derives the steady-state response of the structure after the impact loading.

Visualization of impact force using pressure sensitive paper "Prescale"

2000 ◽  
Vol 10 (PR9) ◽  
pp. Pr9-185-Pr9-190
Author(s):  
K. Ogawa ◽  
T. Yokoyama
Keyword(s):  
Impact Force ◽  
Pressure Sensitive

Some thought on the Estimating of the Impact Force by an Experiment

2019 ◽  
Vol 7 (2) ◽  
pp. 205-213
Author(s):  
Yong-Doo Kim ◽  
Seung-Jae Lim ◽  
Hyun-Ung Bae ◽  
Kyoung-Ju Kim ◽  
Chin-Ok Lee ◽  
...  
Keyword(s):  
Impact Force ◽  
The Impact

Flow resistivity, characteristic impedance and complex wave number assessment of coconut fiber with thin thickness samples.

2017 ◽  
Author(s):  
Key Fonseca de Lima ◽  
Nilson Barbieri ◽  
Fernando Jun Hattori Terashima ◽  
Vinicius Antonio Grossl ◽  
Nelson Legat Filho
Keyword(s):  
Characteristic Impedance ◽  
Wave Number ◽  
Coconut Fiber ◽  
Complex Wave ◽  
Flow Resistivity ◽  
Complex Wave Number

The mechanics of a climbing fall with a belayer who can be lifted

2021 ◽  
pp. 175433712199261
Author(s):  
Ulrich Leuthäusser
Keyword(s):  
Exact Solution ◽  
Impact Force ◽  
Initial Position ◽  
Minimum Mass ◽  
Trade Off ◽  
Linear Elastic ◽  
Stopping Distance ◽  
Sport Climbing ◽  
Force Reduction ◽  
Maximum Impact Force

In sport climbing, a common method of belaying is to use a static rope brake attached to the belayer’s harness, but the belayer can move freely. This paper investigates the dynamics of a climbing fall with such a belayer. The dynamics are nontrivial because of the belayer’s constraint to be always at or above his initial position. An exact solution for a linear elastic rope is presented. Compared to a fix-point belay, one obtains a considerable force reduction on the belay-chain. However, there is a trade-off of a longer stopping distance of both climber and belayer. In order to calculate the stopping distance, friction between rope and the top carabiner has been taken into account. Closed-form formulas allow for calculating the maximum impact force, as well as the minimum mass of the belayer which is necessary to hold a fall from a certain height.

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