Investigation of Dynamic Responses and Vibration Serviceability of Temporary Grandstands by a 3 DOF Interaction Model due to Swaying Motion

Table 8

The peak of structural dynamic response corresponding to f with three kinds of model.

f (Hz)	f3 (Hz)
	1.4	1.6	1.8	2.0	2.2	2.4	2.6	2.8
1.2		ghj–l (j-k)	–l (j–l)	–l (j-k)	–l (j-k)	–l (j-k)	–l (j-k)	–l (j-k)
1.3	d–l	d-fi (–i)	d–f (–i)	d-fj (–i)	d-fj (–i)	d-fj (–i)	d-fj (–i)	d–j (–i)
1.4	a-cj (i)	a–c (d–f)	a–c (d–f)	a–c (d–f)	a–c (d–f)	a–c (d–f)	a–c (d–f)	a–c (d–f)
1.5	(a–h)	a–c	a–c	a–c	a–c	a–c	a–c	a–c
1.8	(j–l)	(l)

a to l stands for a − α = 0.2, ζ₃ = 0.3; b − α = 0.2, ζ₃ = 0.4; c − α = 0.2, ζ₃ = 0.5; d − α = 0.8, ζ₃ = 0.3; e − α = 0.8, ζ₃ = 0.4; f − α = 0.8, ζ₃ = 0.5; − α = 1.4, ζ₃ = 0.3; h − α = 1.4, ζ₃ = 0.4; i − α = 1.4, ζ₃ = 0.5; j − α = 2.0, ζ₃ = 0.3; k − α = 2.0, ζ₃ = 0.4; l − α = 2.0, ζ₃ = 0.5.