Please do not resubmit Chegg answers need matrices A square domain is modeled using either one bilinear rectangular element or two lineartriangular elements as shown below.a) Determine the system element matrix for the Laplace equation for each discretization.b) Determine the displacement at the center of the domain (0.5,0.5) in terms of the nodaldisplacement.Hint: You need to assemble the stiffness matrix for the system on the right to form a 4*4 matrixfrom the two 3*3 element matrices.y1.041.043(312X.1.01.0

A square domain the system element matrix for the laplace rectangular element or two linear…

A square domain is modeled using either one bilinear rectangular element or two lin. triangular elements as shown below. a) Determine the system element matrix for the Laplace equation for each discr- b) Determine the displacement at the center of the domain (0.5,0.5) in terms of displacement. Hint: You need to assemble the stiffness matrix for the system on the right to form a from the two 3*3 element matrices. 1.0 4 1.0 4 3.

A square domain is modeled using either one bilinear rectangular element or two lin. triangular elements as shown below. a) Determine the system element matrix for the Laplace equation for each discr- b) Determine the displacement at the center of the domain (0.5,0.5) in terms of displacement. Hint: You need to assemble the stiffness matrix for the system on the right to form a from the two 3*3 element matrices. 1.0 4 1.0 4 3.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

1. Consider the following square matrix A = 9 6 (a) Determine the eigenvalues and eigenvector(s) of A. (b) Find the modal matrix M and diagonalize A through similarity transformation M 'AM. do we get a Jordan form or not? Explain why?
2. Consider the following matrix 10 0 140 A1 = 0 3 A2 = 1 1 1 , A3 = 1 0 -1 3 (a) Find the eigenvalues and eigenvectors of each matrix in (2). 1 10 010 1 2 3 (2) (b) Find the modal matrix M and diagonal each matrix (2) through similarity transforma- tion. Which matrix in (2) will lead to the Jordan form?
Suppose that the stiffness matrices of the above question (as shown below) are as follows: b -b a a K1 =108 x K2 =108 x -b -a a b 0.1 m 0.05 m 0.5 m 0.5 m where a= 1.8 N/m and b=2.9 N/m. Find the assembled stiffness matrix of the system using the following connectivity table. Element Node i Node j (1) 2 (2) 2 What is the summation of all terms located on the main diagonal of the assembled [a bc] stiffness matrix? (Hint: if the assembled stiffness matrix is b de then you e f need to find the value of a + d+ f). Your Answer: Answer The shape function value ) is zero at the centre of the element. O is always higher than 1. O is equal 1 at its own node and zero at other nodes. O is always less than 1.
Please
Q4: Calculate elastic compliance constants (S's) related to C's in the following matrix. [C11 C12 C13] C21 C22 C23 C31 C32 C33
(3) For the given boundary value problem, the exact solution is given as = 3x - 7y. (a) Based on the exact solution, find the values on all sides, (b) discretize the domain into 16 elements and 15 evenly spaced nodes. Run poisson.m and check if the finite element approximation and exact solution matches, (c) plot the D values from step (b) using topo.m. y Side 3 Side 1 8.0 (4) The temperature distribution in a flat slab needs to be studied under the conditions shown i the table. The ? in table indicates insulated boundary and Q is the distributed heat source. I all cases assume the upper and lower boundaries are insulated. Assume that the units of length energy, and temperature for the values shown are consistent with a unit value for the coefficier of thermal conductivity. Boundary Temperatures 6 Case A C D. D. 00 LEGION Side 4 z epis
Find the Global Stiffness Matrix for the following Spring Structure. Use your answer to set up matrix Equation F=KX.
Determine if the system is consistent or inconsistent. Justify your answer and find all solutions to the system of linear equations. Justification should be written on your solution paper. Transform the matrix into ROW ECHELON FORM (REF) using row operations. 2x +8y+ 6z = 20 4x+2y-2z =-2 3x-y+z = 11 Enter final answer: (x, y, z) =(
1. A spring mass system serving as a shock absorber under a car's suspension, supports the M=1000kgmass of the car. For this shock absorber,k=1000N/m and c=2000N s/m. The car drives over a corrugated road with force F=2000sin(wt)N. Use your notes to model the second order differential equation suited to thisapplication. Simplify the equation with the coefficient of x'' as one. Solve x (the general solution) interms of using the complimentary and particular solution method. In determining the coefficients ofyour particular solution, it will be required that you assume w2 -1=w or . Do not 1-w2=-wuse Matlab as its solution will not be identifiable in the solution entry. Do not determine the value of w.You must indicate in your solution:1. The simplified differential equation in terms of the displacement x you will be solving2. The m equation and complimentary solution3. The choice for the particular solution and the actual particular solution xp4. Express the solution x as a piecewise…
2. As a traffic engineer, you have been asked to investigate the dynamic response of the road sign (in Figure a below) to wind gusts. In particular, you are to stu-the bending and torsional response of the support pole for the sign due to initial velocity conditions due to a wind gust (Figure b). Derive the equation of motion using Lagrange's equation and show it in matrix form (neglect gravity). (25) San Diego Fwy Speed Limit 55 (White Ford Broncos 25) (a) Front View (b) Top View G M. Ic 0
Use the Finite Volume method to find general nodal equations for the CV of the geometry. Use the implicit method to find the rate of change of energy storage in the CV.
A rectangular tube of outer width w = 7.5 m, outer height h = 5 m and thickness t = 0.17 m experiences bending through the x axis. What is the moment of inertia of the cross-sectional area In? y -- X MATLAB input variables: format shortEng W = 7.5; h = 5; t = 0.17; moment of inertia I, = m4