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

Table 6

The peak of structural dynamic response corresponding to swaying frequencies.

f (Hz)	f2 (Hz)
	1.5	1.8	2.1	2.4	2.7	3.0	3.3
1.0
1.1
1.2	a–l	j–l	j–l	j–l	l
1.3	d–f	–i	–i	–i	–k	–l	–l
1.4	a–c	d–f	d–f	d–f	d–f
1.5		a–c	a–c			d–f	d–f
1.6				a–c	a–c
1.7						a–c	a–c
1.8

a to l stands for a − α = 0.2, ζ₂ = 0.2; b − α = 0.2, ζ₂ = 0.225; c − α = 0.2, ζ₂ = 0.25; d − α = 0.8, ζ₂ = 0.2; e − α = 0.8, ζ₂ = 0.225; f − α = 0.8, ζ₂ = 0.25; − α = 1.4, ζ₂ = 0.2; h − α = 1.4, ζ₂ = 0.225; i − α = 1.4, ζ₂ = 0.25; j − α = 2.0, ζ₂ = 0.2; k − α = 2.0, ζ₂ = 0.225; l − α = 2.0, ζ₂ = 0.25.