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In this paper, we consider an imperfect finite beam lying on a nonlinear foundation, whose dimensionless stiffness is reduced from 1 to k as the beam deflection increases.
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So, the physical model of the problem consists of a Timoshenko beam lying on an elastic Winkler foundation.
The dynamic stability of a cantilevered Timoshenko beam lying on an elastic foundation of Winkler type and subjected to a tangential follower force is studied.
Simulation results are presented for the problem of buckling of long beams lying on a non-linear elastic foundation.
These protons are then delivered to a patient who is typically lying on a treatment table in a shielded room and directed to the appropriate depth in the body through either a "passively scattered" or "beam scanning" technique.
"I turned away from the monitor then looked back – and there it was: a clear image of a shipwreck with exposed beams lying on the sea floor.
Then I looked back and there it was: a clear image of a shipwreck with exposed beams lying on the sea floor.
So much concrete and brick and beams lay on top that, illuminated by klieg lights, even big machinery had not yet been able to dig them out.
Martin was lying on a stretcher, moaning.
Jean-Paul was lying on a gurney.
Viewers are greeted by a single steel I-beam lying diagonally on the floor.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com