Chapter (1).pdf

# Chapter (1).pdf - 1 2 Fourier Series t(1 d-l-i r_i i-l i i...

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1- Simple Harunonic Motion 2- Fourier Series. t-_- (1)

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d

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-l --i r _ i i -*: -l i i j '--i-- t a

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E= \$ + ?,rGst*A* bnsin t:#n.t) L It=l ^"3 2 T T, J rr+r;r i : i : r ; i i i _:_L_-_.._ -L --.i---i---j--- --- l - f i ! r i : : ! l i i i i i t l i T, - v I ! : i n r ^ r - ' ; i - - j - - i l' we \a,te " dd f{tl ( orginl3>=rit ) :}ao = orr =zero 'r-i* , e,ltnfttt t SJrpAr,) --t, =zetb ,+

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I -'f - .-.i_-- i l -+-- t :

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' : l : , : : r : i : : i : ' r - , . , , , a . . , . . r . . r 1 ! ; : ; l : : : r i , Ain Shams University Facultlt of E ngin eering Design & Production Department Meahamicsof Machines (2) Third YearMechanical Power Section 1. fntroduction 1.1- A harmonic motion has'acircular frequency 2.5 radls. For each of the following initial conditions; write dovrn the equation of motion and plot it over one cycle, 4 x (0):4 mm, *(0): g. b) x(0)--4mm, x(0):0. c) x (0) :0, x(0) : 15 mrn/s- d) x (0)

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