Designing and Analysis of a Trebuchet
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• Optimization of shaking force and shaking moment using mathematical modeling in MATLAB and ADAMS simulation. • Studied the effect of projectile mass, counterweight and pivot height on the range of the projectile. • Modelled and simulated the trebuchet using ADAMS. • Mathematical analysis and plotting of resulting graphs using MATLAB • Analysis of structure and material in ANSYS. • Optimization of the projectile mass to be launched with respect to the counter weight used. • Calculation of shaking force and shaking moment using mathematical modeling and ADAMS simulation • The effect of counterweight, projectile mass and height of pivot on the range of projectile through graphical plots • Analysis of the hinge forces and the hinge torques and the projectile velocity’s X-component and Y-component were studied through graphical plots. • The shaking torque comes out to be negligible and the shaking force is a considerable amount so we have to attach a counterweight to minimise the shaking force.
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Designing and Analysis of a Trebuchet
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- 3. Benchmarking 1. Study the effect of following on the range of projectile: • Counterweight • projectile mass • height of pivot 2. Analysis and hand calculations of tension in the sling, angular acceleration of lever and projectile. 3. ADAMS simulation and MATLAB mathematical modeling using Newtonian Approach. 4. Analysis of Hinge Forces and Hinge Torques.
- 5. Initial velocity Range Mass of the projectile that can be launched. Mass of the counterweight used. Amount of shaking force and shaking moment generated.
- 7. 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 50 55 60 65 70 75 80 85 90 Range(m) Vs Projectile Mass(g) 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 0.6 0.65 0.7 0.75 0.8 0.85 0.9 0.95 1 1.05 Range(m) Vs Counterweight Mass(Kg) 1.14 1.16 1.18 1.2 1.22 1.24 1.26 1.28 1.3 1.32 1.34 1.36 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 Range(m) Vs Height of Pivot(m)