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Stochastic ship roll motion via path integral method
Cottone, G.,Paola, M. Di,Ibrahim, R.,Pirrotta, A.,Santoro, R. The Society of Naval Architects of Korea 2010 International Journal of Naval Architecture and Oc Vol.2 No.3
The response of ship roll oscillation under random ice impulsive loads modeled by Poisson arrival process is very important in studying the safety of ships navigation in cold regions. Under both external and parametric random excitations the evolution of the probability density function of roll motion is evaluated using the path integral (PI) approach. The PI method relies on the Chapman-Kolmogorov equation, which governs the response transition probability density functions at two close intervals of time. Once the response probability density function at an early close time is specified, its value at later close time can be evaluated. The PI method is first demonstrated via simple dynamical models and then applied for ship roll dynamics under random impulsive white noise excitation.
Stochastic ship roll motion via path integral method
G. Cottone,M. Di Paola,R. Ibrahim,A. Pirrotta,R. Santoro 대한조선학회 2010 International Journal of Naval Architecture and Oc Vol.2 No.3
The response of ship roll oscillation under random ice impulsive loads modeled by Poisson arrival process is very important in studying the safety of ships navigation in cold regions. Under both external and parametric random excitations the evolution of the probability density function of roll motion is evaluated using the path integral (PI) approach. The PI method relies on the Chapman-Kolmogorov equation, which governs the response transition probability density functions at two close intervals of time. Once the response probability density function at an early close time is specified, its value at later close time can be evaluated. The PI method is first demonstrated via simple dynamical models and then applied for ship roll dynamics under random impulsive white noise excitation.
The suprafascial course of lower leg perforators: An anatomical study
Vaienti, Luca,Cottone, Giuseppe,De Francesco, Francesco,Borelli, Francesco,Zaccaria, Giovanna,Amendola, Francesco Korean Society of Plastic and Reconstructive Surge 2020 Archives of Plastic Surgery Vol.47 No.2
Background Perforator mapping has been well described in the literature. Once the suprafascial plane is reached, the course of perforators is considered constant. However, the surgeon must be aware of whether an anastomosis exists between perforators superficially to the fascia, in order to choose the best vessel upon which to base the reconstruction. Our retrospective in vivo anatomical study of lower leg perforator flaps presents the first description of variations in the suprafascial path of perforators, which may influence preoperative flap design. Methods An anatomical study of lower limb perforators was performed on 46 nonconsecutive patients who were referred to our department from June 2012 to October 2018. Reconstruction with perforator-based propeller flaps was planned for each of the patients. In total, 72 perforators were preoperatively identified and surgically isolated. The suprafascial course of each perforator was reported. Results During suprafascial surgical exploration, branching patterns were observed in four perforators. These perforators had been classified as single vessels in the preoperative ultrasonographic analysis. However, after surgical dissection, distal converging branches were noted in two of them. Conclusions Our study is the first description in the literature of suprafascial converging perforators, which might constitute an obstacle to planned reconstruction procedures. Despite the accuracy of preoperative evaluations, anatomical variations were present. Knowledge of suprafascial perforator variations may help surgeons to choose the correct perforator upon which to base a planned flap.