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OCTOBER 19-20, 2012 - YMCA University of Science & Technology

OCTOBER 19-20, 2012 - YMCA University of Science & Technology

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Proceedings <strong>of</strong> the National Conference on<br />

Trends and Advances in Mechanical Engineering,<br />

<strong>YMCA</strong> <strong>University</strong> <strong>of</strong> <strong>Science</strong> & <strong>Technology</strong>, Faridabad, Haryana, Oct <strong>19</strong>-<strong>20</strong>, <strong>20</strong>12<br />

The coefficients , are found by using the young’s modulus (E) and Poisson ratio (ν) in the equations below :<br />

These equations are discretized using a suitable scheme and then a convenient numerical method may be used to<br />

solve these equations.<br />

DEVELOPMENT OF THE MODEL<br />

Fig 3 Simplified Vane Geometry<br />

The simplification is carried out as follows:<br />

i. The vanes are symmetrically placed about all the three axes and thus the deformation <strong>of</strong> each vane will be similar<br />

at a given point inside the pump bore.<br />

ii. Further, the material is isotropic.<br />

iii. The above observations are sufficient to simplify the geometry by considering only one vane.<br />

iv. Also unnecessary rounds, embossing etc are removed for better meshing.<br />

Thus to find the maximum stress distributions over the whole impeller we have to analyze the motions <strong>of</strong> a single<br />

vane at the instant when motion starts.<br />

The significant point to be kept in mind is that the vane is just tending to move, thus the friction at contact surfaces is<br />

static. To model contact, infinite friction is used.<br />

The loads are as follows:<br />

i. A moment load <strong>of</strong> 549 mm-N at center <strong>of</strong> the impeller calculated using the motor torque data and the<br />

impeller radius.<br />

ii. Pressure loading on vane sides to simulate pressure differential.<br />

iii. Vane tip, base <strong>of</strong> vane and one face <strong>of</strong> the vane are constrained to simulate friction<br />

The s<strong>of</strong>tware used is Pro/Mechanica and the geometry is built in Pro/E wildfire5.0.The maximum element size is<br />

1mm and thus about 5 million quad elements are formed. The simulation is run on a 4 core 8GB RAM system and<br />

takes about 48hrs to complete.<br />

308

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