Identification of key parameter influence on efficiency of chain drive for track cycling − Preliminary results

Open Access

Table 1

Work dissipated in each chain articulation interface between sub-position k and k + 1, from [12].

Interface		Pin articulation		Bush articulation
Pin/bush		$T_{i + 1}^{(k)} \frac{μ_{p b}}{\sqrt{1 + μ_{p b}^{2}}} R_{p i n} \| Δ α_{k}^{*} \|$		$T_{i}^{(k)} \frac{μ_{p b}}{\sqrt{1 + μ_{p b}^{2}}} R_{p i n} \| Δ α_{k}^{*} \|$
Bush/roller	Case A	${\bar{P}}_{i}^{(k)} \frac{μ_{b r}}{\sqrt{1 + μ_{b r}^{2}}} R_{b u s h} \| \frac{- Δ s_{k}}{R_{r o l l e r}} - Δ ν_{k} \|$		${\bar{P}}_{i}^{(k)} \frac{μ_{b r}}{\sqrt{1 + μ_{b r}^{2}}} R_{b u s h} \| \frac{- Δ s_{k}}{R_{r o l l e r}} - Δ κ_{k} \|$
Bush/roller	Case B	${\bar{P}}_{i}^{(k)} \frac{μ_{b r}}{\sqrt{1 + μ_{b r}^{2}}} R_{b u s h} \| \frac{Δ s_{k}}{R_{c u r v e}} - Δ ν_{k} \|$		${\bar{P}}_{i}^{(k)} \frac{μ_{b r}}{\sqrt{1 + μ_{b r}^{2}}} R_{b u s h} \| \frac{Δ s_{k}}{R_{c u r v e}} - Δ κ_{k} \|$
Roller/profile	Case A		0
Roller/profile	Case B		${\bar{P}}_{i}^{(k)} \frac{μ_{r p}}{\sqrt{1 + μ_{r p}^{2}}} Δ s_{k}$

With: $α_{k}^{*}$ angle between two consecutive links; κ_k angle between the preceding link and local x axis; ν_k angle between the following link and local x axis; s_k curvilinear abscissa of roller; R_bush, R_pinradius of bush and pin part of the link; μ_br,rp,pb friction coefficient at the corresponding interface.

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