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The dynamic loads involve deterministic and uncertain components of force function and initial conditions.
The nonlinear partial differential equations of motion are reduced to a single nonlinear ordinary differential equation by introducing a force function and using the single-term Galerkin method.
The standard atomic-force microscope has been supplemented with an electronic unit, which is capable of realizing an arbitrary force function, and permits the force-loading regime to be interrupted at any time.
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Vases of different shapes can be easily produced by altering the shape parameters, force functions and boundary conditions of the proposed PDE.
Studies suggest that technological solutions that automate tasks (eg, bar code medication administration systems), force functions and relieve the memory burden placed on humans may be more effective at reducing adverse events, 20 21 and this automation may be particularly well-suited to tasks that involve mechanistic comparison or routine checking of information.
In this paper, the forcing function and distribution acting on gradient coils are described (gradient coils x, y and z).
Such conditions are related to the model equilibria, to the forcing function and to certain term clusters in the polynomial models.
There are many situations in which it would be advantageous to be able to separate a measured response signal into its forcing function and transmission path components.
Efficient and physically consistent techniques to solve the resulting stochastic differential equations are discussed, with specific algorithms to manage transition from small to extremely strong forcing function, and to precisely determine when and where particle trajectories reach the boundary.
Additionally, we consider resonant interactions between the forcing function and the system (mirror) with the centre frequency of the Lorentzian aligned with the peak of a mechanical resonance.
They also noted that with forcing functions, it is difficult to impose "realistic" global constraints on the "piecewise" solutions described with a forcing function, and these models will have problems estimating standard errors.
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