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Seakeeping assessment of a floating object with installed photovoltaic system
Published in Selma Ergin, C. Guedes Soares, Sustainable Development and Innovations in Marine Technologies, 2022
I. Ćatipović, L. Ilić, A. Mikulić, D. Smoljan
The paper presented the numerical approaches for two relevant issues when FPV installations are installed at sea. The first issue is concerned with seakeeping analyses of floating pontoons carrying PV panels. The connections between pontoons are especially observed in the numerical model, so the connection matrix is derived and successfully applied, in this study, on generic FPV installation. There was no additional computational time due to the model of connections. So, the developed model has an advantage when considering the computational time compared to current practice based on the hydroelastic type of analysis or on time-domain simulations. The second part deals with solar radiation on a moving surface (as the first step in estimating the wave-induced mismatch losses). The closed-form expression is derived, with some simplifications, that gives the value of the relative radiation reduction on a moving PV panel. The benefit is again in computational time since the closed-form expression can be readily applied, due to its simplicity, after seakeeping analyses. The case studies showed that the expression is effective in the calculation of the reductions by comparison with the time-domain simulations. The case studies, conducted on the merchant ship and the interconnected floating pontoons, presented that the difference in obtained values of the reductions was approximately 3%.
Thermodynamic properties for some diatomic molecules with the q-deformed hyperbolic barrier potential
Published in Molecular Physics, 2023
Ahmed Diaf, Mohammed Hachama, Mohamed M'hamed Ezzine
Using the Poisson summation formula [25]: and neglecting the quantum corrections which include the terms with , we obtain the lowest-order approximation (m = 0) [50]: Using the formula (14), Equation (11) rewrites: where , and Finally, the closed form expression of the vibrational partition function can be written as: where denotes the imaginary error function:
A comparison study of penalized likelihood via regularization and support vector-based control charts
Published in Quality Technology & Quantitative Management, 2023
Edgard Maboudou-Tchao, Charles W. Harrison, Sumen Sen
Let denote the Gram matrix with entries , denote an identity matrix, , denote an vector of ones, i.e. and denote an vector of Lagrange multipliers, i.e. . The closed-form expression for is given by
Analytical solution to consolidation of accreting soil considering step load and horizontal drainage layers
Published in Marine Georesources & Geotechnology, 2021
Shi-Jin Feng, Wen-Tao Wang, Zhang-Long Chen, Hong-Xin Chen
Although the obtained solution Eq. (14) satisfies Eqs. (10a) and (10c), it is zero at z=Zi and z = Z′i, and does not converge to the boundary condition −Qi(t). The reason is that the terms corresponding to the boundary conditions are expressed in the form of Fourier series, which non-uniformly converge at z=Zi and z = Z′i. To solve this problem, the above series need to be represented by the following equivalent closed form expression: