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Cross ratio, in projective geometry, ratio that is of fundamental importance in characterizing projections.
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For the axisymmetric contraction and expansion passages with different geometry ratios, the results obtained are compared to available constitutive models and experiments.
Furthermore, the effects of geometry ratios, characteristic of materials, elastic foundation and thermal environment on the nonlinear buckling of shells are presented.
The scheme is further extended to solve numerous numerical examples highlighting the influence of hygrothermal loads, geometry, curvature ratio, modular ratio, support conditions and lamination scheme on the hygro-thermo-acoustic responses of laminated composite shell panels.
The convergence and comparison studies are presented and effects of the different material composition and the plate geometry (side side ratio, side thickness ratio) on the critical buckling loads and mode shapes are investigated.
The optimal design of the bicycle braking is obtained based on the simulation results with various bicycle geometries, ratios of brake force, and road friction.
To test the proposed method, a pilot study with a mid-size office building evaluates the consequences of early design decisions such as basic geometry, aspect ratio, window-wall ratio, construction types, etc.
Numerical results on the effects of steel plate geometry, span depth ratio of beams and steel reinforcement ratios at beam spans and in wall regions are presented and discussed in this paper.
In the case of sinusoidal load, there is a qualitatively comparable trend in the effect of plate geometry (aspect ratio and relative thickness) and Poisson's ratio on uniform load.
In order to evaluate the effect of joint geometry, the ratio of the edge distance to the pin diameter (E/D), and the ratio of the specimen width to the pin diameter (W/D) were systematically varied during experiments.
Over the years, various models based on the initial RWV have been developed, differing in vessel geometry, aspect ratio, and gas supply, such as the slow turning lateral vessel (STLV) [ 90], the high aspect ratio vessel (HARV) [ 91], or the rotating-wall perfused vessel (RWPV) [ 92].
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