Constraint Minimization Problem - Pen & Paper Calculation

Problem statement: Minimize the function given below `5-(x-2)^2-2(y-1)^2` subject to  `x+4y-3=0`   Solution `L=f-λg` , where  `f=5-(x-2)^2-2(y-1)^2` and  `g=x+4y-3` Thus, I solve `L=5-(x-2)^2-2(y-1)^2-λ(x+4y-3)` `L_x=-2(x-2)-λ=0→Eq^n I` `L_y=-4(y-1)-4λ=0→Eq^n…

Aim   Objective The objective is to determine the pressure that is required to break the thickness of ice using the air-cushion vehicle muller and by using mathematical modeling by using the newton raphson method using python. Theory NEWTON RAPHSON METHOD           The newton-raphson method…

Aim To compare the bending performance of three types of beams Rectangular Section I-section C-section Objective  create the sketches shown below in Solidworks extrude the sketches to a length of 400mm Apply a load of 1500N on the smaller face 45mm face for case 1 40mm face for case 2 45 mm face for case 3 Theory …

Aim Data Analysis of given data Objective Data visualizer: Your script should take column numbers as the input and plot the respective columns as separate images Each file should be saved by the name of the column The plot labels should be extracted from the file. If I request a plot between column 1 (crank angle) and…

Aim Determine the best Curve (linear, quadratic & cubic) that fits to given data Using Python Script Objective Write a code to fit linear and cubic fit polynomial for the cp data Plot the linear and cubic fit curves along with the raw data points Understand how the value of Cp (specific heat) changes w.r.to temperature…

Aim Perform a buckling analysis on a cyclonic separator stand, Create a metallic stiffener on the legs of the stand and run the analysis to find out the change in buckling factor of safety and run a design study and find the optimum position for the stiffener. Objective Observe the buckling characteristics of…

Aim Perform a static analysis of two models of the plate with holes. You will have to create the model in Solidworks and perform the analysis. Objective  Perform a static analysis on two models of plates with holes Apply a fixed relation to one of the short sides of the plate and apply a force of 1000N on the other…

Aim  Conduct a frequency analysis and apply a bearing fixture on the stepped face of the rod at the two ends and perform the analysis using SOLID WORKS Objective Find out 5 mode shapes and list the resonant frequencies  create the model shown below Introduction Natural frequency is the frequency at which a system…

Aim:  Create Simulation of Simple pendulum With MATLAB as a solution for second-order ODE Objectives:  Write a program that solves ODE which represents the equation of motion of a simple pendulum with damping Given Details Simulate the motion between 0-20 sec for angular displacement = 0 angular velocity=3 rad/sec…

Aim  Plot Pressure-Volume(PV) Diagram of Air Standard Cycle and Calculation of thermal efficiency Using Python Objectives  Plot Pressure-Volume (PV) Diagram of Air Standard Cycle Calculate Thermal Efficiency of Air Standard Cycle Theory The Otto-Cycle is an air standard cycle of the Spark Ignition (SI) Engine.…

Aim: Creation of animation of the 2R Robotic Arm Using Python Program Objective: Write a program in python to simulate the forward kinematics of a 2R Robotic Arm, as shown in the video. Create an animation file of the plot. Theory: Kinematic is a branch of mechanics that studies the motion of a body or a system of bodies,…

Aim Write a python program: Flow over the bicycle Objective Calculate Drag Force Plot Curve of Drag Coefficients Vs Velocity Plot Curve of Drag Force Vs Drag Coefficients Theory In the case of a bicycle Problem, there are mainly involved five types of forces. Applied force Gravity Normal Force Friction Air Resistance Here…

https://skill-lync.com/projects/curve-fit-428

Aim Extract Coefficients From Given Data and Calculate Molecular Weight of each species Using Data Parsing with MATLAB  Objectives Extract the data from NASA Thermodynamic data file containing the information that are helpful in calculating the thermodynamic properties such as Specific heat(Cp), Enthalpy(H) and Entropy(S)…

Aim Understand the concept of genetic algorithm (ga)  write a code for 3 case study of Statistical Behaviour of ga Objectives To Write a code in MATLAB to optimise the stalagmite function and find the global maxima of the function. Clearly explain the concept of genetic algorithm in your own words and also…

Aim Determine the best Curve (linear, quadratic & cubic) that fits to given data Using  MATLAB Objective Write a code to fit linear and cubic fit polynomial for the cp data Plot the linear and cubic fit curves along with the raw data points Understand how the value of Cp (specific heat) changes w.r.to temperature…

SIMPLE PENDULUMAim: Create Simulation of Simple pendulum With MATLAB as solution for second order ODEObjectives: Write a program that solves ODE which represents the equation of motion of a simple pendulum with dampingGiven DetailsSimulate the motion between 0-20 secfor angular displacement = 0angular velocity=3…

https://skill-lync.com/projects/SOLUTION-FOR-SECOND-ODER-ODEs-38536

Aim: Creation of animation of the 2R Robotic Arm Using MATLAB Objective: MATLAB Code for 2R Robotic Arm Create Animation of 2R Robotic Arm Study the Movement of Arm   Theory: Kinematic is a branch of mechanics that studies the motion of a body or a system of bodies, without consideration given to its mass or the force…

Aim  Plot PV-Diagram of Otto-Cycle and Calculation of thermal efficiency Using MATLAB Introduction The Otto-Cycle is an air standard cycle of SI Engine. In most Spark Ignition (SI) engine, the piston executes four complete strokes within the cylinder and the crankshaft completes two revolutions for each thermodynamic…