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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 />

commonly used combination <strong>of</strong> spring and damper and has been used in this thesis. Figure 3 shows a mass spring<br />

damper system with two mass nodes i and j.<br />

Figure 3. Voigt model <strong>of</strong> mass spring damper system.<br />

The volumetric self-organizing feature map (VSOFM) [31] is a viable framework for modeling realistic objects<br />

that dynamically change shape with time. Figure 4 shows the flowchart for the mass spring mesh generation and<br />

its integration with the collision detection algorithm.<br />

Figure 4. Flow Chart For Mass Spring Mesh Generation And Its Integration With Collision Detection<br />

Algorithm.<br />

The blending matrices are used to generate spars sparse point cloud on the B-spline surfaces so that it encloses the<br />

3D lattice <strong>of</strong> the deformable VSOFM. The VSOFM model used should have the required number <strong>of</strong> nodes<br />

attached through springs and dampers. The lattice is allowed to expand to the point cloud. The deformable<br />

VSOFM geometrically transforms into the B-spline surface model shape while maintaining the relative<br />

connection <strong>of</strong> neighboring nodes in the mesh.<br />

The surface nodes are connected to the neighboring surface nodes as well as the interior nodes that lie directly<br />

below. This way, the algorithm assigns exterior nodes <strong>of</strong> the mass spring damper mesh to the points generated on<br />

the B-spline surface [26]. The model generated in such a way, can be given any material properties by changing<br />

the stiffness <strong>of</strong> the spring and the damping coefficients based on experimental data. Collision detection algorithm<br />

determines the region where tool is interacting with the model. This information is used to transfer the haptic<br />

forces to the model. This information is used by the mass spring system to generate the response <strong>of</strong> the model to<br />

the applied forces.<br />

2.VR Based Design<br />

The concept design process needs creativity and freedom to innovate and explore alternative solutions [4]. Based<br />

on research or a previous design, a rough idea is created. This rough idea is then expanded into several alternative<br />

350

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