Using Duhamel's Integral, show that the response of an undamped SDOF system subjected to a ramp force excitation is given by the equation 2.
Using Duhamel's Integral, show that the response of an undamped SDOF system subjected to a ramp force excitation is given by the equation 2.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Please answer THE PROBLEM in number 2-4
![1.
Using Duhamel's Integral, show that the response of an undamped SDOF system subjected
to step force excitation is given by the equation
Po
u(t) =
은 [1-cos ant]
Using Duhamel's Integral, show that the response of an undamped SDOF system subjected
2.
to a ramp force excitation is given by the equation
sin wnt]
u(t) = (Ust)o F
Wntr
3.
Using Duhamel's Integral, show that the response of an undamped SDOF system subjected
to a step force with finite rise time excitation is given by the equation
1
u(t) = (Ust)o |1
(sin w,t – sin w, (t – t,))|
Wntr
Using Duhamel's Integral, show that the response of an undamped SDOF system subjected
to a step force with finite rise time excitation is given by the equation
4.
u(t) = (ust)o [(cos w„ (t – ta) – cos wnt)]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fab361a0e-c711-4551-b560-f2155b4225db%2F2ffa213f-b339-44a9-a777-1060221b3f67%2F5bxoowe_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1.
Using Duhamel's Integral, show that the response of an undamped SDOF system subjected
to step force excitation is given by the equation
Po
u(t) =
은 [1-cos ant]
Using Duhamel's Integral, show that the response of an undamped SDOF system subjected
2.
to a ramp force excitation is given by the equation
sin wnt]
u(t) = (Ust)o F
Wntr
3.
Using Duhamel's Integral, show that the response of an undamped SDOF system subjected
to a step force with finite rise time excitation is given by the equation
1
u(t) = (Ust)o |1
(sin w,t – sin w, (t – t,))|
Wntr
Using Duhamel's Integral, show that the response of an undamped SDOF system subjected
to a step force with finite rise time excitation is given by the equation
4.
u(t) = (ust)o [(cos w„ (t – ta) – cos wnt)]
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