Exact(7)
The approximate solution is developed for simply supported and freely movable boundary conditions.
If the liquid resides in a Cassie state above the wall cavities, the gas filling the gaps offers a movable boundary to the fluid.
First, the energy formulation of the droplet substrate system was presented, then the Young Laplace equation and Young's equation were derived based on the variation with movable boundary conditions.
Scudding across the African landscape like a flatbed truck barely under control, the Fullers move from place to place, from farm to farm, during the war in Zimbabwe, and then later in Malawi and finally Zambia, surrounded perpetually by dogs who mark a kind of movable boundary between the domestic and the untamed.
By means of the principle of least potential energy and functional variation with movable boundary condition, the governing equations of the plate and the corresponding transversality condition are derived.
Simply supported movable boundary conditions are considered and the energy functional is reduced to a system of nonlinear ordinary differential equations with cubic and quadratic nonlinear terms using admissible eigenfunctions.
Similar(53)
And these regions have movable boundaries to simulate the change of the region lengths.
In consideration of movable boundaries of the lattice-boom structures, the additional external nodal forces and their derivatives on the structural and mechanical displacements are given for the residual force equations.
Whether one partner takes either one of the roles, or they have both blended the two within themselves, they want to interact seamlessly within those movable boundaries.
Considering the geometric nonlinearity and the nonlinear contact effect, the nonlinear governing equations and corresponding matching conditions for the delaminated shells are established by using the movable-boundary variational principle.
Indeed, the border itself became a metaphor, a movable imaginary boundary that marks ethnic and racial distinction in American and Mexican cities.
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