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2010 |
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Transaction on Civil Engineering |
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Transaction on Mechanical Engineering |
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Transactions on Chemistry and Chemical Engineering |
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Transaction on Computer Science & Engineering and Electrical Engineering |
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Transaction on Industrial Engineering |
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Transaction on Nanotechnology |
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Volume 17, Issue 6, 2010
Transaction on Mechanical Engineering
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Analysis of Manipulators Using SDRE: A Closed
Loop Nonlinear Optimal Control Approach
M. H. Korayem (Professor)
M. Irani [MSc.]
S. Rafee Nekoo [BSc.]
Preview
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In this paper, the State Dependent Riccati Equation (SDRE) method is implemented on
robotic systems such as a mobile two-links planar robot and a xed 6R manipulator with complicated
dynamic equations. Dynamic modelings of both cases are presented using the Lagrange method.
Afterwards, the Dynamic Load Carrying Capacity (DLCC), which is an important characteristic of robots,
is calculated for these two systems. DLCC is calculated for the predened end-eector path, where motor
torque limits and tracking error constraints are imposed for this calculation. For a mobile two-links planar
robot, the stability constraint is discussed by applying a zero moment point approach. A nonlinear feedback
control law is designed for the fully nonlinear dynamics of two cases using a nonlinear closed-loop optimal
control method. For solving the SDRE equation that appears in the optimal control solution, a power
series approximation method is applied. DLCC is obtained, subject to accuracy and torque constraints,
by applying this feedback control law for the square and linear path of the end-eector for mobile twolink
and a 6R manipulator, respectively. Finally, simulations are done for both cases and the DLCC of
manipulators is determined. Also, actual end-eector positions, required control eorts and the angular
position and velocity of joints are presented for full load conditions, and results are discussed
Keywords: Mobile manipulator6R robotNonlinear optimal control |
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Experimental and Numerical Analysis
of Turbulent Air Flow Around
a Surface Mounted Hemisphere
M. Yaghoubi (Professor)
M.M. Tavakol [MSc.]
Preview
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The air
ow field around a surface mounted hemisphere for different velocities is
investigated experimentally and numerically. Hot-film anemometry is used in a wind tunnel to analyze
the
ow structure for different regions of
ow domain around the hemisphere. The
ow Reynolds number
is varied based on the hemisphere diameter and free stream velocities. The air velocity is taken as 5, 7
and 8.5 m/s, with corresponding Reynolds numbers of 35000, 50000 and 64000. To illustrate the
ow
pattern around the hemisphere, variations of
ow velocity at various vertical sections along the midplane,
and cross-stream velocities for various surfaces and heights, are measured and plotted. Corresponding
numerical solutions are also carried out to visualize the
ow reversal, horseshoe vortices and recirculation
zones around and downstream of the hemisphere. It is concluded that the
ow is highly Reynolds number
dependent, especially at the reversed
ow region upstream and downstream of the hemisphere. Moreover,
the eect of hemisphere location in the tunnel is studied, and velocity distributions are compared and
presented in the wake of the hemisphere for constant free stream velocity.
Keywords: Hot-film anemometer |
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