Serviceability limit state - Eurocodes
Serviceability limit state - Eurocodes
Serviceability limit state - Eurocodes
Create successful ePaper yourself
Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.
Vibration –vertical vibrations due to<br />
walking of one person<br />
G. Hanswille<br />
Univ.-Prof. Dr.-Ing.<br />
Institute for Steel and<br />
Composite Structures<br />
University of Wuppertal-Germany<br />
F i<br />
(t)<br />
right foot<br />
left foot<br />
During walking, one of the feet is always in<br />
contact with the ground. The load-time function<br />
can be described by a Fourier series taking into<br />
account the 1st, 2nd and 3rd harmonic.<br />
F(t)<br />
time t<br />
⎡ 3<br />
⎤<br />
F(t) = Go<br />
⎢1<br />
+ ∑ αn<br />
sin ( 2 n π fs<br />
t − Φn<br />
) ⎥<br />
⎢⎣<br />
n=<br />
1<br />
⎥ ⎦<br />
both feet<br />
Fouriercoefficients<br />
and α 2<br />
α 1<br />
=0,4-0,5 Φ 1<br />
=0<br />
=0,1-0,25 Φ 2<br />
=π/2<br />
phase angles:<br />
α 3<br />
=0,1-0,15 Φ 3<br />
=π/2<br />
t s<br />
=1/f s<br />
G o<br />
weight of the person (800 N)<br />
1. step 2. step 3. step α n<br />
coefficient for the load component of n-th harmonic<br />
n number of the n-th harmonic<br />
f s<br />
pacing rate<br />
Φ n<br />
phase angle oh the n-th harmonic<br />
64
Change language