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Here, z(t) indicates a time-dependent amplitude, and ψ(x y) represents the deflection eigenmode for a vibrant graphene.
It is well known that (u=u x, t)) represents the deflection of the roadbed in the vertical plane and (theta=theta x, t)) is the temperature difference with respect to a fixed reference temperature.
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A trial function representing the deflection of the beam is expressed in the polynomial form.
A key point of this analysis is the shape of the distributed lateral loading, which, ideally, should represent the deflection profile of the system when it is stressed well into the post-elastic phase.
where u ( x, t ) is an unknown function, which could represent the deflection of the road bed in the vertical plane; h ( x, t ) and g ( u, t ) are time-dependent external forces; k u + represents the restoring force, k denotes the spring constant; α u t represents the viscous damping, α is a given positive constant.
Inputs to the model each represent the deflection of a subset of 25 whiskers as they are contacted by a moving stimulus object.
represents the riser deflection.
In the first part of Eq. 3, FDC (Eq. 4) represents the static deflection of the tip that is used, and Fω (Eq. 5) and F2ω (Eq. 6) oscillate with frequencies proportional to ω. Fω in Eq. 5 generally measures the V CPD, and F 2ω is used for capacitance microscopy [19].
The technique is based on representing the angular deflection of the side beam by a polynomial on the position variable along the deflected beam axis.
Here the unknown variables (u x,t)) and (theta x,t)) represent the vertical deflection of the structure and the vertical component of the temperature gradient, respectively.
Here the unknown variables (u x,t)) and (theta x,t)) represent the vertical deflection of the structure and vertical component of the temperature gradient, respectively.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com