Exact(2)
Thus a new analytical approach and corresponding closed form formulations are presented in this paper for evaluating impact energy and induced berthing forces in these piers.
The proposed analysis method addresses the shortcomings of other closed form formulations and results in restraint moments that are more sensitive to the girder age at continuity.
Similar(58)
The closed form formulation makes the proposed approach well suited for system analysis and model-based control.
Then, weak form formulation and spatial approximations of variables are utilized to discretize the equations of motion.
The optimization of oral dosage form formulation has been developed for N-4472, N-[2- 3,5-di-tert-butyl-4-hydroxyphenethyl -4,6-difluorophenyl]-N′-[4- N-benzylpiperidyl)] urea, which was a poorly water-soluble drug haviN-[2- 3,5-di-tert-butyl-4-hydroxyphenethyl -4,6-difluorophenyl]-N′-[4- N-benzylpiperidyl
These low-VOC requirements favour film-forming formulations over products that penetrate the wood surface, since traditional wood stains were formulated to penetrate the wood, and the new formulations that meet the VOC requirements may not penetrate as well.
This study addresses the estimation of buffeting response of overhead conductor based on random vibration theory with closed-form formulations.
Although N-bit phasing is not an optimal closed-loop method, it admits closed-form formulations for performance measures (e.g., the outage probability).
Based on the state-space Levy solution, the deflections, stresses, natural frequencies and critical buckling loads are analytically solved for the closed-form formulations.
The aerodynamic modal damping ratios are estimated in closed-form formulations in which the influence of static swing of the conductor plane is explicitly accounted.
Numerical results of the mode mixity predicted by the present closed-form formulations correlate well with those numerically calibrated on the basis of the singular field and crack-tip force models.
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