We have to solve given second order ordinary differential equation (ODE) in matlab. ODE is a differential equation containing one or more functions of independent variable and the derivatives of that functions.  Our objective is to write a program that solves the ODE which represents the equation of motion of a simple…

We have to write a code in MATLAB to optimise the stalagmite function and find the global maxima of the function. We have to explain genetic algoritham and its syntax. Genetic algorithm -         A genetic algorithm (GA) is a heuristic search algorithm used to solve search and optimization…

Aim - To write a code in MATLAB for parsing the Nasa thermodynamics data file and calculate thermodynamics properties of various species using the data. Objective - Write a function that extracts the 14 co-efficients and calculates the enthalpy, entropy and specific heats for all the species in the data file. We will be…

1) a) Assume a Howe Truss. Per Structural Idealization, draw a line model for thetruss and state your assumptions Above is line model of Howe Truss. b) From the line model :-No. of reactions r = 3No. of members m = 13No. of joints j = 8 c) According to equation :- m+r = 2j as m+r = 16 and 2j = 16, so LHS =RHS The above…

1) Write a matlab function module to accept the input information to calculate stiffness matrix.The function must accept the following a) Node coordinates as a vectorb) Must accept material properties E,A,Fyc) Must return error message if improper arguments are given to function Node vector must clearly mention the order…

We have to claculate the indicidual siffness matrix and global siffness matrix for given problem. First we calculate the number of nodes and number of elements by numbering elements and nodes in proper order in diagram. After finding the maximum number of degrees of freedom that can be associated with the structure, we…

1) First assume a cantilever beam and develop flexibility matrix as below - 2) Use the equations developed in problem 1 and write a matlab module to calculate coefficients in a flexibility matrix for a cantilever beam Ans :- Progamme for above problem - function [beam]= beam_problem(node_xy,elements,E,b,h,fy) no_elements…

1) Calculate the transformation matrix for a frame shown below Develop a matrix that will transform forces from their local axis x’-y’-z’ to x-y-z axis as shown in the figure below. Ans :- `q1' = q1cos(thetax) -q2cos(thetay)` `q2'=q1cos(thetay)+q2cos(thetax)`   `lamdax=cos(thetax)=(x(i)-x(j))/L`…

1) Develop equation for the moment in terms of E ( modulus of elasticity) and moment of inertia (I) and radius of curvature Ans :- As, M = Bending moment.  I = Moment of inertia exerted on the bending axis.  σ = Stress of the fibre at a distance ‘y’ from neutral/centroidal axis.  E = Youngs…

1) Check whether the truss given below is stable or not. Explain with a reason Ans :- Here m=12, j=9 and r=6  m=2j-r which is 12=12  so LHS equal to RHS hence the above structure is stable structure which is rigid structure. 2) How is the degree of indeterminacy is calculated in a) Beams and Frames - degree of…

1) Explain the following levels of analysis Ans :- a) First Order Elastic analysis - In first-order analysis the stiffness of the structure is assumed to be constant and unaffected by changes in the geometry of the structure when it is loaded. This is the standard assumption of linear elastic first order analysis.…

1) Assume a structure frame. Write down a displacement matrix with variables corresponding to pre-selected degrees of freedom and degrees of freedom to be eliminated. Mathematically, derive the process that takes the original set of equations and condense it to the form shown below Ans :- As original equation is [k][delta]=[P]…

1) Develop a matlab function to accept Node information : Node numbers , Node coordinates and information on nodes to perform analysis on a 3D planar frame structure Ans :-  Programme for above problem - function [node_xy] = Getnodecoordinates(~) prompt='Enter a vctor containing NOde Informations'; disp('Input in…

Aim :- For the given Hood model, Take the mid surface for all the components after checking the geometrical errors and mesh the mid surface with the given element Quality criteria. Solution :- 1) Import Model and Parts identification :- Open model from file menu. Given model has 4 component as follow. i) Inner extract…

I) Aim :- Tool test for model one - switch panel modified . Solution :- 1) Import Model :- Open model from file menu.   2) Geometry cleanup :- We have to check for geometry cleanup for given model, for that go in checks manager option and choode geometry check option and execute.…

Aim :- For the given Plastic Bottle Cap model, check for the geometrical errors and take the mid surface by suitable mid surfacing techniques. PID and Thickness assignment has to be done for all the mid surfaces. Mesh the same with given element Quality criteria. Solution :- 1) Import Model :- Open model from…

Aim :-  For the given Rear view mirror component, check for the geometrical errors and mesh the Surfaces with the given 2D element Quality criterias given below.  S.No  Quality Criteria  Value  1 Target/Average length   1 2 Minimum Length  0.5 3 Maximum Length  2  Use tetra…

Aim :-  For the given Intake Manifold component, check for the geometrical errors and mesh the Surfaces with the given 2D element Quality criterias given below.  S.No  Quality Criteria  Value  1 Target/Average length   3 2 Minimum Length  1 3 Maximum Length  5 Use tetra elements…

Aim :- Now for the given Rear door FE model, Create and Apply different PIDs for different components. By using the same technique and the elements as shown in the video, Perform suitable connections. Solution :- 1) Import the door model - Open model from file menu. We have to define different connections of doors…

Aim :- Practice all the Morphing techniques that were shown in the video for Model-1. Perform morphing for the Model-2 and Increase the Height of the Dog houses and Ribs. Solution :- i) To create morph box - Boxes - New - geometry - ortho - select model part - ok. ii) To move morph box - Box morphing - move -…

Aim :- For the given component, check for the geometrical errors and mesh with the given element Quality criteria. After meshing the component the thickness has to be assigned. Solution :- 1) Import Model :- Open model from file menu. Topo the model and measure the thickness at different locations using measure…

Aim :-  Mesh the Given component with the Size of 5 Units. Create 1D elements on the following component with given cross-section and DOF a. Rod element:- Translational DOF should be Constrained with RBE2 link Cross-Section: BOX- Dimension a= 12 mm                …

Aim :-  For the given assembly, check for the geometrical errors and mesh with the given element Quality criteria. After meshing the component the thickness has to be assigned for mid surfaces. Use tetra elements to model non-uniform thickness components. Also use Appropriate connections to connect the component as…

Aim :- Meshing of hood challenge. Ans :-  1) Geometry Import - First import the model using import model option, these model consist of 4 components as below  i) outer panel ii) inner panel iii) hinge iv) latch 2) Midsurfacing and geometry cleanup -  We have to take midsurface of above components for 2D…

 1) Create a Teramesh for Housing component with the following quality criteria. TetraMesh Generation Method: 2D to 3D Conversion         Elements sizes: Min- 2 Units, Target- 5 Units, Max- 7 Units, Tet collapse: 0.15 Ans :- i) Geometry Import and Cleanup - First import the model using…

 Aim :-  For this challenge, you will have to mesh the given geometry. Provided below are the quality parameters that you have to follow. Create connector and Attach the various parts of the given model . Ans :-  I) Model Import and Geometry Cleanup :- First import the model using import option, then…

Aim :- Meshing of Rear Wheel holder challenge. Follow the below-mentioned quality criteria, mesh the component given below and assign thickness: Target Element Length = 5 Units S.N Quality Criteria  Value  1 Aspect Ratio  5 2 Skewness 45 3 Warping 15 4 Taper      0.5 5 Min. Length 2 Units…

1) Develop a function in matlab to solve linear equations by the following methods Ans :- a) Cholesky method - % solve_chol - solve linear equations from the Cholesky factorization. % Solve A*X = B for X, where A is square, symmetric, positive definite. The % input to the function is R the Cholesky decomposition of A and…

Aim :-  Geometry Cleanup Exercise: Carry out the geometry cleanup operation on the given 3 files. Practice  Clip Repair Mounting Bracket There should not be any free edges, convert all of them into refine geometry. Clean the geometry. Extract midsurface. Clean midsurface geometry. Ignore holes less than…

Questions: 1) Check the material properties of the rail component and calculate the speed of sound in steel rail. Ans :-  As formula for speed of sound is c =`(E/rho)^(1/2)` We have to open the 0000.rad file to access the values. From the above image we can see the value of E=210000 Mpa(N/mm^2) and `rho`=0.0078…

Aim :- Meshing of door inner pannel for given quality criteria. Follow the Quality Criteria and mesh the following component and assign thickness: Target Element Length = 4 Units S.N Quality Criteria  Value  1 Aspect Ratio  5 2 Skewness 45 3 Warping 15 4 Taper      0.5 5 Min. Length 2 Units…

Aim :-  we have to run the simulation on crash beam model with default values in hypermesh and improved recommended properties.  We have to compared the both results and plot the graphs of internal energy, hourglass energy, contact energy and total energy.               …