Figure 2. Symbolic coupling of the two substructures with the points of interest The context of this study is the transmission of vibration to the cyclist. Only the contact points between the hand and the handlebar are of interest and consequently only one specific term from Eq. (1) is relevant: Y Y Y Y Y Ya IA a II a II a II a IA ab IA 1 (2) whereYab IA corresponds to an excitation force applied in A and a velocity response in I for the assembled structure ab. Considering that set A contains point A1, and set I points I1 and I2, Eq. 2 becomes: Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y a I A a I A b I I b I I b I I b I I a I I a I I a I I a I I a I I a I I a I I a I I a I A a I A ab I A ab I A 2 1 1 1 2 1 2 2 1 1 1 2 2 1 2 2 1 1 1 2 1 2 2 2 1 1 2 1 1 2 1 1 1 2 1 1 1 (3) Assumptions Hands are uncoupled ( 0 1 2 Y b I I ; 0 2 1 Y b I I ). Only vertical axis Z is considered for the excitations or the responses There are no couplings between the three directional axes (X, Y, and Z) for each substructure. All measurements are along the vertical Z axis. Left and right hand measurements are identical because Y Y b I zI z b I zI z 2 2 1 1 . 69
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