Curve Fitting using Python

https://skill-lync.com/projects/data-analysis-using-python-48

Objective: Extract a plot between any two quantities from the given data file automatically. Compatibility check: Code should exit gracefully, if a non-compatible file is provided as an input. Calculate the area under P-V diagram. Calculate the power output of an engine running at 1500 RPM. Calculate the specific fuel…

Objective: Write a Python Program to curve fit a linear and cubic polynomial for the given Cp data and explain the results.   Curve Fitting: Curve fitting is the process of constructing a curve, or mathematical function, that has the best fit to a series of data points, possibly subject to…

Objective: Write a Python program to find minimum cushion pressure of an Air Cushion Vehicle to Break Ice with Newton-Raphson method.   Governing Equation: The factors involved are: p - cushion pressure h - thickness of the ice field r - size of the air cushion σ - tensile strength of the ice  β -…

Objective: Write a program to solve an ODE which represents the equation of motion of a simple pendulum with damping and animate a simple pendulum in motion.   Simple Pendulum: A simple pendulum consists of a ball (point-mass) m hanging from a (massless) string of length L and fixed at a pivot…

Objective: To minimize the function `f(x,y) = 5-(x-2)^2-2(y-1)^2` subject to the constraint `x+4y=3` using Lagrange Multipliers.   Solution: Given equation: `f(x,y) = 5-(x-2)^2-2(y-1)^2` Simplifying the equation `f(x,y) = 5-(x^2-4x+4)-2(y^2-2y+1)` `f(x,y) = -x^2-2y^2+4x+4y-1`      .(I) Constraint…

Objective: Write a program in Python to calculate the thermal efficiency of Otto cycle and plot the P-V diagram. Otto Cycle: Otto Cycle is the ideal thermodynamic combustion cycle which describes the working of a spark ignition engine, as follows: a compression at constant entropy; a constant-volume heat transfer…

Objective:  Write a program in python to simulate the forward kinematics of a 2R Robotic Arm.   Forward Kinematics: Forward Kinematics refers to the use of the kinematic equations of a robot to compute the position of the end-effector from specified values for the joint parameters. The kinematics equations…

Objective:  Write a Python program to calculate drag force against a cyclist with respect to different factors involved. The factors involved are Velocity,Drag coefficient,Frontal Area,Density of air. Case-1: Program to plot Velocity vs Drag force. Case-2: Program to plot Drag Co-efficient vs Drag force.  …

Objective: Perform crash test for a crash box with Beam and Solid spotweld elements, write a detailed report by explaining the results obtained and compare the axial and shear force among beam and solid elements. Question: In this assignment, you will model spotwelds for the given assembly of parts and run…

Objective: Perform crash test for a crash box with different shell thickness, write a detailed report comparing and explaining the results obtained.  Question: In this assignment, the student needs to simulate a crash test for a crash box for which mesh is given. A crash box is a highly energy absorbing…

Objective: Perform Mobile Drop Test Simulation using LS-DYNA and write a detailed report explaining the results obtained.  Question: In this assignment, we provide you with a file having just nodes and elements of two parts, a simplified cellphone and a plate mimicking ground. You need to create a complete…

Objective:  To solve numerically and compare the difference between Non-linear static Explicit and Implicit solver methods of a bar in tension. Question: As demonstrated in the PDF, F(u) = u3+9u2+4u use this equation and solve using both Explicit and Implicit Methods (have a tolerence of 10^-2). Deliverables…

Objective: Show detailed calculation for conversion from SI units to different unit systems used in different industries and mention the conversion factors.  Question: Value of the following measurements are given as follows: MASS 1kgLENGTH 1mTIME 1sFORCE 1NSTRESS 1PaENERGY 1NmDENSITY 1Kg/m3YOUNG'S Modulus  210GPaVelocity…

Objective: Perform Simulation of Sloshing effect in Gearbox using Ansys fluent and write a detailed report explaining the results obtained.  Question: For this challenge, you have to perform the four simulations in the  Gearbox and then you have to compare the results among all the four cases.…

Objective: Perform analysis on cyclone separator and calculate the separation efficiency and pressure drop and write a detailed report explaining the results obtained.  Question: To write a few words about any four empirical models used to calculate the cyclone separator efficiency.  To perform an analysis…

Objective: Perform Combustion Simulation on the Combustor model using Ansys Fluent, plot the variation of the mass fraction of the different species and write a detailed report explaining the results obtained.  Question: Part I Perform a combustion simulation on the combustor model and plot the variation…

Objective: Perform Parametric Study on a Gate Valve by Varying the Gate Valve Opening using Ansys Fluent and write a detailed report explaining the results obtained.  Question: For this challenge, you will have to perform a parametric study on the gate valve simulation by setting the opening from 10 % to 80%. …

Objective: Perform Conjugate Heat Transfer (CHT) Analysis on an Graphics Card using Ansys Fluent and write a detailed report explaining the results obtained.  Question: Perform a steady-state conjugate heat transfer analysis on a model of a graphics card. You can use appropriate materials of your choice…

Objective: Simulate Rayleigh Taylor Instability problem using Ansys Fluent and write a detailed report explaining the results obtained.  Question: What are some practical CFD models that have been based on the mathematical analysis of Rayleigh Taylor waves? In your own words, explain how these mathematical…

Objective: Perform Conjugate Heat Transfer (CHT) Analysis on an Exhaust Manifold using Ansys Fluent and write a detailed report explaining the results obtained.  Question: Give a brief description of why and where a CHT analysis is used. Calculate the wall/surface heat transfer coefficient on the internal…

Objective: Perform grid dependence study for steady flow over an Ahmed body using ANSYS Fluent and write a detailed report explaining the results obtained.  Question: As the body is perfectly symmetric, we can run the simulation by considering the only half body. This is the best practice where you can save…

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Objective: Compare the Steady State Analysis results of mixing tee with different length and momentum ratios and write a detailed report explaining the results obtained.  Question: For this challenge, we have created two versions of the mixing tee. One of them is longer than the other. Your job is to set…

Objective: Perform the bending of iPhone and obtaining the fatigue life of the Material using Ansys Workbench and write a detailed report explaining the results obtained. Question:  For this challenge, simulate the bending of iPhone as per the given cases below Case 1: Simulate the model as it is given in…

Objective: Compare the Finite Element Analysis results obtained by using 2 different conditions for Buckle-clip and write a detailed report explaining the results obtained. Question: Mesh the buckle clip model in such a way that the overall number of elements is less than 31,000. It is mandatory to bring it under…

Objective: Perform Transient Structural Analysis on Slider Crank Mechanism and write a detailed report explaining the results obtained for the question. Question: For this challenge, Simulate the slider crank mechanism for the cases given below. Case 1: Run the simulation as mentioned in the video Case 2: Create…

Objective: To model the essential parts of an IC Engine Valve Train and run an MBD simulation on that. Obtain the Valve Lift.  The contact force between  Cam and Push Rod Pushrod and Rocker Arm Rocker Arm and Valve Explain why the contact force between the Rocker arm and valve varies while measuring…

Objective: Compare the Finite Element Analysis results obtained by using 3 different contact types for Piston and Cam Mechanism and write a detailed report explaining the results obtained. Case Setup and Execution:  Model: Boundary Conditions: Material: Structural Steel Joints: Joints has been applied as shown…

Objective: To perform side crash analysis on the given model and obtain the required output requests as mentioned below: Case Setup and Execution:  Open the given 'neon_side_reduced_0000.rad' file in Hypermesh and Hypercrash simultaneously. Keep the unit system as 'Kn mm ms kg' in Hypercrash. Run the model checker…

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Objective: Perform finite element analysis on sphere pressing on a plate setup and prove that the plate is plastically deformed. Case Setup and Execution:  Model: Boundary Conditions: Material: Sphere: Structural Steel Plate: Structural Steel NL Symmetry: To reduce computational time in a symmetric model, we…

Objective: Generate mesh for bumper assembly with mesh size 6mm and compare base setup simulation and different kinematic condition results for given crash tube files. Case Set up and Execution: Meshing:   Open given Bumper_System.hm file in Hypermesh. Create mesh using automesh with size 6mm, one face at…

Objective: Perform Finite Element Analysis on a Railwheel and Track setup with load of 100000N and 500000N, Compare the results obtained with user defined results and write a detailed report explaining the results obtained. Case Setup and Execution:  Model: Boundary Conditions: Material: Structural Steel…

Objective: Perform an explicit analysis of Bullet Penetrating a Bucket in ANSYS Workbench with three different materials for bucket and compare the results obtained. Case Setup and Execution:  Model: Boundary Conditions: Material: Bullet: TANTALUM and bullet stiffnes behaviour is changed to rigid. Body Interaction:…

Objective: To analyze and compare the results of following given 7 cases of a spherical ball hitting rupture plate with different materials and properties. Case Set up and Execution: Case-1: Law2_epsmax_failure Open FAILURE_JOHNSON_0000.rad file. Run the Radioss analysis with given material properties and name…

Objective: Compare the Finite Element Analysis results obtained by using 3 different materials for Welded Joints Setup and write a detailed report explaining the results obtained. Case Setup and Execution:  Model:   Boundary Conditions: Contacts: Frictional type of Contacts has been applied to BIG &…

Objective: Perform rolling operation on a workpiece made of copper and write a detailed report explaining the results obtained. Question:  For this challenge, you will have to simulate the rolling operation on a workpiece made of copper. The model will be provided to you. Increase the length of the workpiece…

Objective: Compare the Finite Element Analysis results obtained by using 3 different materials for Spur gears and write a detailed report explaining the results obtained. Stress Intensity: The stress intensity factor describes the stress state at a crack tip, is related to the rate of crack growth, and is used…

Objective: To compare the simulation results of the base setup and improved shell element properties. Case Set up and Execution: Case-1: Open Hypermesh>Import Solver Desk, Select Element_Formulation-Shell-3_assignment_0000.rad Now go to View>Browsers>Hypermesh and check Solvers Search for engine…

Objective: To carryout geometry cleanup oeration on the given files and convert all of them into refine geometry:- Clean the geometry. Extract Midsurface. Clean Midsurface geometry. Ignore holes less than 5mm diameter. Create 2D mesh by keeping the element length as 5mm and the limits as +/-3.5mm. Assign proper thickness,…

Objective: Perform Static Analysis on two models of plate with holes and compare the results for stress, strain and displacement. Case-1: The model is created in Solidworks with the following dimensions. Length=300mmHeight=120mmThickness=30mmCircular Hole at the center:Diameter=60mm Boundary Conditions: Material: Alloy…

Objective: To perform frontal crash analysis on the given model and obtain the required output requests as mentioned below: Case Setup and Execution:  Open the given 'neon_front_0000.rad' file in Hypermesh and Hypercrash simultaneously. Keep the unit system as 'Kn mm ms kg' in Hypercrash. Run the model checker in…

Objective: Perform roof crash analysis on the given model and obtain the required outputs. Question: Roof Crush - BIW Import • Car• Impactor Transforms • This will require (in order)• A 180° rotation about the global z-axis• A 5° rotation about the axis through axis AB• A 25°…

Objective: Perform an explicit analysis of Machining operation using a Planer in ANSYS Workbench with two different cutting velocities of 20000mm/s and 15000mm/s and compare the results obtained. Case Setup and Execution:  Model: Cutting Tool Stiffness behaviour has been set to rigid. Boundary Conditions: Material:…

Objective: Perform an explicit analysis of tension and torsional test on a model in ANSYS Workbench and analyse the results. Question:  For the tension test, displace one end of the specimen to 18mm while keeping the other fixed. You will need to find out the total deformation, equivalent stress and temperature…

Objective: Static Structural analysis on a plate with a single hole and a plate with multiple holes. Question: CASE-1: Model: A plate is modelled as shown in question. Boundary Conditions: Material: Structural steel Mesh Size: 3.5mm Type of Elements: Tetrahedron Fixed Support: Left surface as shown in question. Force(Tensile):…

Objective:  Find the optimum position for stiffener on a cyclonic seperator stand to obtain the best possible buckling factor of safety while performing buckling analysis.  We will perform buckling analysis on cyclonic seperator stand in two different scenarios:- a. Without Stiffener b. With Stiffener To find…

Objective: To create 3D meshing for the given models and solve the following questions: Case Set up and Execution: 1. Material and its properties as given in FIRST_RUN_0000.rad file:- Material:Steel Density:0.0078`g/(mm²)` Young's Modulus:210000`g/ ((ms)²(mm)²)` Speed of Sound `C = sqrt…

Objective: Compare the Finite Element Analysis results obtained by using different materials for Sheet Metal in a Sheet Metal Bending Operation and write a detailed report explaining the results obtained. Question:  Run the analysis for the material : Case 1:Aluminium Alloy 1199( mentioned in the course video),Copper…

Objective:  To find out critical frequencies of rotating shaft by generating 5 mode shapes using Solidworks Simulation. Model: A rotating shaft model is created in Solidworks using following dimensions:(all dimensions are in mm) Boundary Conditions: Material: Alloy Steel(Refer image for properties) Fixed Geometry:…

Objective: To model the piston and its associated parts then perform an Multibody Dynamic simulation by assembling them. Modelling:  Piston and its associated parts required for piston assembly is modelled in solidworks as shown below. Piston Gudgeon Pin(Wrist Pin) Connecting Rod End Cap Crank: Assembly: All…

Objective: Compare the performance of following 3 types of cantilever (support at only one end) beams in Soldworks Simulation using Linear Static Analysis. Results obtained i.e Stress, Displacement and Strain are analysed and compared among 3 beams to find out out the best out of them.     TYPE-1: SIMPLE RECTANGULAR…

Objective: To run the motion analysis on the planetary gear with a sun gear, a ring gear, a carrier and four planet gears.  Modelling:  The following inputs are used for designing the Planetary Gear Ring Gear Module = 2.5 (You must use the metric system in design modeler) Number of teeth = 46 Sun Gear Number…

Objective: To create 3-D models of Internal Geneva Mechanism and perform motion analysis by rotating the driver wheel at 10rpm and 20rpm. Obtain results such as contact force between driving and the driven wheel as a function of time, Angular Displacement of the driven wheel and driver wheel's angular velocity…

Objective: Compare the Finite Element Analysis results obtained by using Grip Dependency test with 3 different mesh size for Bevel gears and write a detailed report explaining the results obtained. Grid Dependency Test: Grid convergence is the term used to describe the improvement of results by using successively…

Objective: Compare the Finite Element Analysis results obtained by using 3 different materials for Universal Joint and write a detailed report explaining the results obtained. Case Setup and Execution:  Model: Boundary Conditions: Joints: Revolute joints has been applied as shown below. Fixed joint has been applied…

Objective: Compare the Finite Element Analysis results obtained by using 3 different materials for Wire in a Wire Bending Setup and write a detailed report explaining the results obtained. Case Setup and Execution:  Model: Boundary Conditions: Co-ordinate system: A new co-ordinate system has bee applied on the…

Objective: Perform Transient Structural Analysis on Worm gear assembly and write a detailed report explaining the results obtained. Case Setup and Execution:  Model: Boundary Conditions: Material: Structural Steel Contacts: Contacts has been applied as shown below. Joints: Revolute joints has been applied to…

Objective: Perform a parametric study using 3 different values of thickness for the car body and Compare the results obtained. Case Setup and Execution:  Model: Boundary Conditions: Material: STRUCTURAL STEEL for WALL. STAINLESS STEEL NL for CAR Body. Symmetry: Symmetry has been applied as shown below. Body Interaction:…