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Similarly, if the lever is assumed to be rigid (Analytical 2), the modeling accuracy is significantly affected.
Instead of acting as a rigid analytical framework, these tables were presented as heuristic devices to promote reflection on the relationship between future applications, issues, and their implications for governance.
Graph Theory is used to solve the type synthesis stage, while the rigid analytical synthesis combined with the well-known process of rigid-body replacement synthesis is used to synthesize the flexible members.
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A multiple rigid-body analytical model with the consideration of the interactions between the aircraft landing gear and the foamed concrete arrestor is proposed.
Analytical model I did not consider the compliance of the rigid links, and analytical model II considered the influence of the compliance of the rigid links.
Since their stiffness was much higher than the PE, the cobalt-chromium head was modeled as an analytical rigid surface, and the titanium alloy shell was represented by a rigid concave spherical surface, using 808 four-node rigid elements.
At first, the equations of motion of the system are derived based on analytical rigid body dynamics.
The validity and limitations of such approximation are investigated for a rigid-block on rigid-base, utilizing rigorous analytical solutions from the bibliography; and for the frame structure on nonlinear soil, by conducting comprehensive nonlinear dynamic time history analyses.
Numerical methods typically yield approximate solutions to the governing equation through the discretization of space and time and can relax the rigid idealized conditions of analytical models or lumped-parameter models.
Deterministic, distributed-parameter, numerical models can relax the rigid idealized conditions of analytical models or lumped-parameter models, and they can therefore be more realistic and flexible for simulating field conditions.
The new method is based on a simplified analytical semi-rigid frame model assuming that the structural plastic deformation is mainly concentrated within the PR connections while beams and columns largely remain elastic.
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