• فهرست مقالات Low-Dimensional Model

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        1 - A Surrogate Reduced Order Free Vibration Model of Linear and Non-Linear Beams using Modified Modal Coefficients and HOSVD Approaches
        Mohammad Kazem Moayyedi
        In the present work, two low-dimensional models are presented and used for vibration simulation of the linear and non-linear beam models. These models help to compute the dynamical responses of the beam with fast computation speed and under the effects of different cond چکیده کامل
        In the present work, two low-dimensional models are presented and used for vibration simulation of the linear and non-linear beam models. These models help to compute the dynamical responses of the beam with fast computation speed and under the effects of different conditions. Also the obtained results can be used in the conceptual and detailed design stages of an engineering system overall design. First, a finite element analysis based on Euler-Bernoulli beam elements with two primary variables (deflection and slope) at each node is used to find static and dynamic responses of the considered linear and non-linear beams. Responses to three different static load cases are obtained and applying them as initial conditions, the time responses of the beam are calculated by the Newmark's time approximation scheme. A low-dimensional POD model which was extracted from the ensemble under the effect of an arbitrary loading is reconstructed. To apply the model to simulate the response of beam under the effect of other loads, POD modal coefficients are updated due to change of initial condition. This modification is performed based on the recalculation of the eigenvalues due to a new initial condition. Also, another low-dimensional model is constructed which is developed based on an ensemble under the effect of several parameters. To apply the model to simulate the response of the beam under the effect of other loads and variations of beam thickness, POD-HOSVD modal coefficients are updated due to the change of desired parameters. The results obtained from the low-dimensional model are showing good agreement to the benchmark data and proving high level accuracy of the model. پرونده مقاله
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        2 - Investigation of Parameters Affecting the Geometry of Red Blood Cell Using Low-Dimension Model in Dissipative Particle Dynamics
        Somaye Yaghoubi
        Approximately one half of the blood flow is made up of the Red Blood Cells (RBCs). Moreover, the geometry of the RBCs relative to the vessel diameter greatly effect on the physics and dynamics of the blood flow. It means the quantitative understanding through the vessels چکیده کامل
        Approximately one half of the blood flow is made up of the Red Blood Cells (RBCs). Moreover, the geometry of the RBCs relative to the vessel diameter greatly effect on the physics and dynamics of the blood flow. It means the quantitative understanding through the vessels is important in multifarious pathologies. To simulate RBCs, one of the modelling concerns is related to the details required for the sufficient accuracy and another is about the cost of computational methods. The mesoscopic models of RBCs combined both parameters accuracy and optimality. Then to achieve some of these goals in this study a numerical model called Low-Dimensional (LD) model along with DPD method are used to simulate Red Blood Cells, RBCs, in blood flows. LD-DPD model is developed due to new formulation of single particle in DPD and is able to capture the essential mechanics properties of these suspensions economically because of the low number of particles. The advantage of LD model is the use of spherical particles compared to the standard DPD which assumes point particles. For instance, in this study, to simulate a RBC, only10 colloidal particles are required. Also it is proved in this work different parameters are effective to determine the RBC radius and using this method, it is easy to investigate them until to match this simulation with the real one. پرونده مقاله