Computer Science Consider the following beam fix-supported at both ends. Its dynamic behavior is modeled by the Euler-Bernoulli theory, the PDE of which is defined as + EI - q(x, t) = 0, where w is the deflection of the beam, p is the mass per unit length, E is the Young's modulus, and I is the moment of inertia. The length of the beam is L. Lo Now, a car is traveling through the beam with a constant speed V. The live load of the moving car is represented by q(x, t) in the PDE. q(x, t) takes a Gaussian profile, defined as 2A -2(x - Vt)2] q(x,t) exp where Lo is the length of the car (Lo ), A is the total weight of the car. Overall Objective: A comprehensive application of what we discussed in the course to a structural engineering problem. • Part 1: Establish a general computer program by picking up a combination of explicit time integration and finite difference to solve w. Briefly comment on the stability of your method.
Computer Science Consider the following beam fix-supported at both ends. Its dynamic behavior is modeled by the Euler-Bernoulli theory, the PDE of which is defined as + EI - q(x, t) = 0, where w is the deflection of the beam, p is the mass per unit length, E is the Young's modulus, and I is the moment of inertia. The length of the beam is L. Lo Now, a car is traveling through the beam with a constant speed V. The live load of the moving car is represented by q(x, t) in the PDE. q(x, t) takes a Gaussian profile, defined as 2A -2(x - Vt)2] q(x,t) exp where Lo is the length of the car (Lo ), A is the total weight of the car. Overall Objective: A comprehensive application of what we discussed in the course to a structural engineering problem. • Part 1: Establish a general computer program by picking up a combination of explicit time integration and finite difference to solve w. Briefly comment on the stability of your method.
Computer Networking: A Top-Down Approach (7th Edition)
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![Computer Science
Consider the following beam fix-supported at both ends. Its dynamic behavior is modeled
by the Euler-Bernoulli theory, the PDE of which is defined as
w
+ EI
- q(x, t) = 0,
where w is the deflection of the beam, p is the mass per unit length, E is the Young's
modulus, and I is the moment of inertia. The length of the beam is L.
Lo
Now, a car is traveling through the beam with a constant speed V. The live load of the
moving car is represented by q(x, t) in the PDE. q(x, t) takes a Gaussian profile, defined as
-2(x-Vt)2]
exp
L
2A
q(x,t)
where Lo is the length of the car (Lo ), A is the total weight of the car.
Overall Objective: A comprehensive application of what we discussed in the course to a
structural engineering problem.
• Part 1: Establish a general computer program by picking up a combination of explicit
time integration and finite difference to solve w. Briefly comment on the stability of
your method.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7f523915-b304-4629-b057-e8431a9eb369%2F87fd4b62-1b85-49c7-965d-69c5e1daa65a%2Fst772r9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Computer Science
Consider the following beam fix-supported at both ends. Its dynamic behavior is modeled
by the Euler-Bernoulli theory, the PDE of which is defined as
w
+ EI
- q(x, t) = 0,
where w is the deflection of the beam, p is the mass per unit length, E is the Young's
modulus, and I is the moment of inertia. The length of the beam is L.
Lo
Now, a car is traveling through the beam with a constant speed V. The live load of the
moving car is represented by q(x, t) in the PDE. q(x, t) takes a Gaussian profile, defined as
-2(x-Vt)2]
exp
L
2A
q(x,t)
where Lo is the length of the car (Lo ), A is the total weight of the car.
Overall Objective: A comprehensive application of what we discussed in the course to a
structural engineering problem.
• Part 1: Establish a general computer program by picking up a combination of explicit
time integration and finite difference to solve w. Briefly comment on the stability of
your method.
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