story building. For this case, the analysis is limited to horizontal motion of the structure. Using Newton's second law, force balances can be developed for this system as dt² m₁ d²x₂ =+ k ·x₁ + = (x2-x₁) m₁ m3 = 8000 kg m k3 = 1800 kN/m k₂ m₁ = 10,000 kg -(x3 - x2) m |k₂ = 2400 kN/m m2 = (x2 − x3 ) - dt² m₁ = 12,000 kg m k₁ = 3000 kN/m m3 dt² m2 d²x3_k3 · (x₁ − x 2 ) + -=- Simulate the dynamics of this structure from t = 0 to 20 s, given the initial condition that the velocity of the ground floor is dx1/dt = 1 m/s, and all other initial values of displacements and velocities are zero. Present your results as two time-series plots of (a) displacements and (b) velocities. And develop a three- dimensional phase-plane plot of the displacements (X1, X2, X3). Use following functions: import matplotlib.pyplot as plt from mpl_toolkits.mplot3d import Axes 3D
story building. For this case, the analysis is limited to horizontal motion of the structure. Using Newton's second law, force balances can be developed for this system as dt² m₁ d²x₂ =+ k ·x₁ + = (x2-x₁) m₁ m3 = 8000 kg m k3 = 1800 kN/m k₂ m₁ = 10,000 kg -(x3 - x2) m |k₂ = 2400 kN/m m2 = (x2 − x3 ) - dt² m₁ = 12,000 kg m k₁ = 3000 kN/m m3 dt² m2 d²x3_k3 · (x₁ − x 2 ) + -=- Simulate the dynamics of this structure from t = 0 to 20 s, given the initial condition that the velocity of the ground floor is dx1/dt = 1 m/s, and all other initial values of displacements and velocities are zero. Present your results as two time-series plots of (a) displacements and (b) velocities. And develop a three- dimensional phase-plane plot of the displacements (X1, X2, X3). Use following functions: import matplotlib.pyplot as plt from mpl_toolkits.mplot3d import Axes 3D
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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In Python:
![story building. For this case, the analysis is limited to horizontal motion of the structure. Using Newton's
second law, force balances can be developed for this system as
dt²
m₁
d²x₂
=+
k
·x₁ + = (x2-x₁)
m₁
m3 = 8000 kg
m
k3 = 1800 kN/m
k₂
m₁ = 10,000 kg
-(x3 - x2)
m
|k₂ = 2400 kN/m
m2
= (x2 − x3 )
-
dt²
m₁ = 12,000 kg
m
k₁ = 3000 kN/m
m3
dt² m2
d²x3_k3
· (x₁ − x 2 ) +
-=-
Simulate the dynamics of this structure from t = 0 to 20 s, given the initial condition that the velocity of
the ground floor is dx1/dt = 1 m/s, and all other initial values of displacements and velocities are zero.
Present your results as two time-series plots of (a) displacements and (b) velocities. And develop a three-
dimensional phase-plane plot of the displacements (X1, X2, X3). Use following functions:
import matplotlib.pyplot as plt
from mpl_toolkits.mplot3d import Axes 3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F85ef1472-5031-4595-b8cd-6114432cd2e6%2F6e7f8dd7-780f-4d07-8705-7f46d2977ce4%2F7miwy6_processed.png&w=3840&q=75)
Transcribed Image Text:story building. For this case, the analysis is limited to horizontal motion of the structure. Using Newton's
second law, force balances can be developed for this system as
dt²
m₁
d²x₂
=+
k
·x₁ + = (x2-x₁)
m₁
m3 = 8000 kg
m
k3 = 1800 kN/m
k₂
m₁ = 10,000 kg
-(x3 - x2)
m
|k₂ = 2400 kN/m
m2
= (x2 − x3 )
-
dt²
m₁ = 12,000 kg
m
k₁ = 3000 kN/m
m3
dt² m2
d²x3_k3
· (x₁ − x 2 ) +
-=-
Simulate the dynamics of this structure from t = 0 to 20 s, given the initial condition that the velocity of
the ground floor is dx1/dt = 1 m/s, and all other initial values of displacements and velocities are zero.
Present your results as two time-series plots of (a) displacements and (b) velocities. And develop a three-
dimensional phase-plane plot of the displacements (X1, X2, X3). Use following functions:
import matplotlib.pyplot as plt
from mpl_toolkits.mplot3d import Axes 3D
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