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The thickness function of the designed LID lens is given analytically.
Extrapolation of thickness function vs. time applying maximum normal stress criteria results in corresponding thickness.
The skeleton of this profile is defined by a quadratic equation, and its thickness function exhibits a NACA profile with a maximum relative thickness of five percent.
The modal sensor shape is expressed as a linear function of the second spatial derivative of the structural mode shape function as well as the beam width and thickness function.
First, the plate is divided into a number of regions of which the values of thickness are assumed to be constant and are given by the known thickness function of the plate.
The original tunnel 3D model exported to the 3D-matic® software (A) and the Wall Thickness function was applied.
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Optimal thickness functions are determined for different support and load cases and the numerical results show that buckling loads can be increased significantly.
The results show that non-polynomial thickness functions are accurate although, in a few cases, the influence of some non-polynomial terms may be detrimental.
The Carrera Unified Formulation (CUF) with different thickness functions along the three orthogonal curvilinear directions is the basis of the present theoretical model.
The Carrera Unified Formulation (CUF) with different thickness functions along the three orthogonal curvilinear directions is applied to completely doubly-curved shells and panels, different from spherical and cylindrical shells and plates.
The results are compared with layer-wise theories in the framework of CUF by adopting as thickness functions both Legendre polynomials and Lagrange interpolations on Chebyshev nodes (Sampling-Surfaces method, SaS).
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