Week 5 - Curve fitting

AIM: To perform curve fitting on Temperature Vs Cp file and determining the goodness of the fit. THEORY: 1)Understanding popt & popt. poptOptimal values for the parameters so that the sum of the squared residuals of f(xdata, *popt) - ydata is minimized. pcovThe estimated covariance of popt. 2)np.array(temperature)…

SECOND ORDER ODEs In Engineering, ODEs(ordinary differential equations) describe various transient systems. The motion of a simple pendulum with damping can be understood with the help of the following ODE :   where, g = gravity in m/s2 L = length of the pendulum in m m = mass of the ball in kg b=damping coefficient.…

Aim : To plot a PV graph for otto cycle and calculating its thermal efficiency. Theory: Otto cycle is an idealized thermodynamic cycle that describes the functioning of a typical and most commonly used piston engines. Piston kinematics can be used to understand the variation of volume and pressure with the crank angle.…

Aim : To simulate the forward kinematics of a 2R Robotic arm. Theory: The robotic arm is used for multiple industrial applications, from welding, material handling, and thermal spraying, to painting and drilling. The robotic technology also provides human-like dexterity in a variety of environments.…

  Aim : to parse information from NASA Thermodynamic data file and use teh data to find properties such as cp, enthalpy,entropy.    Formula:   `(Cp)/R = a1 + a2 T + a3 T^2 + a4 T^3 + a5 T^4` `H/(RT) = a1 + a2 T/2 + a3 T^2/3 + a4 T^3/4 + a5 T^4/5 + a6/T` `S/R =a1 ln T+ a2 T + a3 T^2 /2 + a4 T^3 /3 +…

Aim : To find the global maxima of the given stalagmite function using Genetic Algorithm. Theory : Stalagmite Function to be optimized using GA is given below:  `f(x,y)=f1,x*f2,x*f1,y*f2,y` where, `f1,x=[sin(5.1pix+0.5)]^6` `f1,y=[sin(5.1piy+0.5)]^6` `f2,x=exp[-4ln(2)*((x-0.0667)^2/0.64)]` `f2,y=exp[-4ln(2)*((y-0.0667)^2/0.64)]`…

Plotting a P vs V graph and calculating the efficiency of otto cycle using MATLAB  CODE: clear all close all clc %inputs gamma = 1.4; t3 = 2300; %state variables p1 = 101325 t1 = 500 % engine geometric parameters bore = 0.1; stroke = 0.1; cr = 12; con_rod = 0.15; %calculating swept volume and clearance volume v_swept…

AIM: To simulate forward kinematics of a 2R Robotic Arm using MATLAB MATLAB CODE: %Forward kinematics of a robotic with animation close all clear all clc %inputs l1 = 1; l2 = 0.5; theta1 = linspace(0,90,10); theta2 = linspace(0,90,10); ct = 1; for i = 1:length(theta1) THETA1 = theta1(i); for j = 1:length(theta2) THETA2…