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I. MAXIMUM DYNAMIC LOAD DETERMINATION OF MOBILE MANIPULATORS VIA NONLINEAR OPTIMAL FEEDBACK
M. H. Korayem (Professor)
M. Irani [MSc.]
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In this paper, a nonlinear optimal feedback control law is designed to find the maximum load carrying capacity of mobile manipulators for a given trajectory task The optimal state feedback law is given by the solution to the nonlinear Hamilton-Jacobi-Bellman (HJB) equation. An iterative procedure is used to find a sequence of approximate solutions of the HJB equation. This is done by solving a sequence of Generalized HJB (GHJB) differential equations. Galerkin procedure is applied to find a numerical solution to the GHJB equation. Using this method, a nonlinear feedback is designed for mobile manipulator and then, an algorithm is developed to find the maximum payload. In mobile base manipulators, the maximum allowable load is limited by their joint actuator capacity constraints, nonholonomic constraints and redundancy that arise from base mobility and increase Dofs. To solve the extra Dofs of the system, extended Jacobian matrix and additional kinematic constraints are used. The validity of the methodology is demonstrated via simulation for a two-link wheeled mobile manipulator and linear tracked Puma arm and the results are discussed.
Key Words: Maximum Payload, Manipulator, Optimal Control, Closed Loop Controller, HJB
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NUMERICAL MODELING OF TRANSIENT TURBULENT GAS FLOW IN A PIPE FOLLOWING A RUPTURE
A. Nouri-Borujerdi (Professor)
M. Ziaei-Rad [MSc.]
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A transient flow of a compressible gas generated in a pipeline after an accidental rupture is studied numerically. The numerical simulation is performed by solving the conservation equations of an axisymmetric, transient, viscous, subsonic flow in a circular pipe including the breakpoint. The numerical technique is a combined finite-element finite-volume method applied on the unstructured grid. A modified model with a two-layer equation for near wall region and compressibility correction is used to predict the turbulent viscosity. The results show that for example, after a time period of 0.16 seconds, the pressure at a distance of 61.5m upstream of the breakpoint reduces about 8%, while this value for the downstream pressure located in the same distance from the rupture is about 14% at the same time. Also the mass flow rate released from the rupture point will reach 2.4 times of its initial value and becomes constant when the sonic condition occurs at this point after 0.16 seconds. Also the average pressure of the rupture reduced to 60% of its initial value and remains constant at the same time and condition. The results are compared with available experimental and numerical studies for steady compressible pipe flow.
Keywords: Transient compressible flow, Gas pipeline, Numerical modeling, Sudden rupture, Combined finite element-finite volume method
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Effects of Canard Position on the Wing Surface Pressure
M. R. Soltani (Professor)
F. Askari [MSc.]
A.R. Davari [PhD.]
A. Nayebzadeh [MSc.]
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A series of wind tunnel tests were performed to study the effects of canard and its position on the downstream flowfield over the wing surface. The wing surface pressure was measured for both canard-off and canard-on configurations. In addition, the canard position effects on the wing were investigated at different angles of attack. The canard was installed at three vertical positions and at two different horizontal distances from the wing apex. The results show a remarkable increase in the wing suction peak for the canard-on configurations. At low to moderate angles of attack, among the various configurations examined in the present experiments, the mid-canard configuration developed a higher suction on the wing, while at high angles of attack, the upper-canard was found to induce the most favorable flow field on the wing. In addition, higher suctions were achieved on the wing at moderate to high angles of attack, as the wing-canard distance was increased.
Key Words: Canard, Delta Wing, Downwash, Leading Edge Vortex
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Multidisciplinary Optimization of A Vehicle under Noise, Vibration, Harshness and Weight Constraints Using Response Surface Method
M. Azadi (MSc.)
S. Azadi [PhD.]
M. Moradi [MSc.]
F. Zahedi [MSc.]
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One of the important challenges in the automotive industry is to reduce the mass of the vehicle while meeting structural performance requirements for Crashworthiness, Noise, Vibration and Harshness (NVH) etc. In this paper, a multidisciplinary optimization (MDO) of a car back-bonnet is investigated by using the Response Surface Method (RSM). Firstly, a car body is fully surface modeled in CATIA and meshed in HYPERMESH software. Then, modal analysis of the finite element model is performed by NASTRAN software to find natural frequencies. Frequency map of that component is extracted and compared with a reference map to detect defects. Design of Experiments (DOE) methodologies is used for a screening of the design space and for the generation of approximation models using RSM techniques. Therefore, to optimize the model, improvement of the NVH behavior and minimization of the weight are imposed.
Keywords: multidisciplinary optimization, modal analysis, NVH, weight, RSM, back-bonnet
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Gauss integration limits in nearly singular integrals of BEM for geometrically linear elements
M. Abbaspour (Professor)
M. Ghodsi [MSc.]
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The most suitable and widely used numerical integration method for boundary integrals in BEM method is Gauss-Legendre integration. But this integration method is not appropriate for singular and nearly singular integrations in BEM. In this study, some criteria are introduced for recognizing the nearly singular integrals in integral form of Laplace equation. At the first stage, a criterion is obtained for constant element and in the later stages higher order elements are investigated. In the present research, the Romberg integration method is used for nearly singular integrals. The results of this numerical method have a good agreement with analytical integration. The singular integrals are solved by composing the Romberg method and midpoint rule. Constant, linear and other interpolation functions of potentials over an element are a category of BEM elements. In those elements, the Gauss-Legendre integration will be accurate, if the source point is placed out of the circle with a diameter equal to element length and its center matched to midpoint of element.
Keywords: Boundary element method, Gauss-Legendre integration, Laplace equation, nearly singular integrals, Romberg integration.
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