Tyre and Vehicle Dynamics part 8 ppt

0 5 1 90 180 0 φ ψ [ ] o α ψ 0 50 4010 20 30 [Hz] 0 oo 10060 [m/s] 8040200 Ω = ω 0 5 1 90 180 0 φ ψ [ ] o α ψ 0 50 10 100 oo 4010 20 30 [Hz] 10 10m/s 10 20 20 20 20 60 60m/s 60 5 5 40m/s 40 40 40 40 5 5 20 20m/s 10 10 0 1 90 0 experiments 0 50Hz 5 1 Hz 4 Hz 8 Hz 12 Hz 16 Hz α ψ α ψ 44 50 0.2 0.1 1.8 4 8 0.5 16 24 32 64 64 16 1 2 4 8 16 8 16 32 32 32 1 0 2 2 1 Im Re Re Im α ψ 0.2 0.1 1.8 5 8 0.5 16 24 20 40 64 1 2 4 8 16 8 16 32 32 32 4 24 32 16 8 11 46 8 0 [m/s] [m/s] 200 128 -1 1 Re Im α ψ 8 16 64 64 64 64 16 1 2 4 16 16 32 32 32 128 32 Re 1 Im α ψ 85 4 16 24 64 64 1 2 8 96 8 16 32 128 32 24 64 -1 [m/s] [m/s] radial-plybias-ply radial-plybias-ply 1.1 Hz 4.0 Hz 7.8 Hz ψ ψ 30 20 10 5 2.5 30 40 20 15 10 50 30 40 20 15 10 50 30 40 10 50 15 20 30 20 10 5 2.5 5 20 15 10 30 40 0 0 0 30 20 10 5 2.5 30 40 20 15 10 50 30 40 20 15 10 50 30 40 10 50 15 20 30 20 10 5 2.5 5 15 10 30 40 0 0 0 5 5 50 5 Im Re Re Im [m/s] [m/s] Im Re Im [m/s] [m/s] Re 00 [...]... DÃAvt$#%ÇurÃphypˆyh‡rqÉh…vh‡v‚Ã‚sÃp‚‡hp‡Ãyrt‡uÃ!h‰hyÃpˆ…‰rÇurÃh‡u ‚sÇurÃp‚‡hp‡Ãƒ‚v‡†Ãy‚r…Ãpˆ…‰rÃ67ÃhqÇurÃp‚ˆ…†rÂsÇurÂv‡†Ã‚sÇurƇ…vt h‡Ã‡urÃyrhqvtÃhqDžhvyvtÃrqtrà 68 hqà 78 Ãuh‰rÃirrÃvqvph‡rqÃU‚†v‡v‚† ‚sÇurǒ…rÃuh‰rÃirrÃqrƒvp‡rqrÃvÃv‡r…‰hyÃDDÃhqÇur‡ur…ÃvÃv‡r…‰hyÃDDD D‡Ãv†Ãrpr††h…’Çuh‡Ã‡urÃphypˆyh‡v‚†ÃvÃ‡urÁˆ€r…vphyÃv‡rt…h‡v‚Ãƒ…‚pr††Ãir . Hz 4 Hz 8 Hz 12 Hz 16 Hz α ψ α ψ 44 50 0.2 0.1 1 .8 4 8 0.5 16 24 32 64 64 16 1 2 4 8 16 8 16 32 32 32 1 0 2 2 1 Im Re Re Im α ψ 0.2 0.1 1 .8 5 8 0.5 16 24 20 40 64 1 2 4 8 16 8 16 32 32 32 4 24 32 16 8 11 46 8 0 [m/s]. α ψ 0.2 0.1 1 .8 5 8 0.5 16 24 20 40 64 1 2 4 8 16 8 16 32 32 32 4 24 32 16 8 11 46 8 0 [m/s] [m/s] 200 1 28 -1 1 Re Im α ψ 8 16 64 64 64 64 16 1 2 4 16 16 32 32 32 1 28 32 Re 1 Im α ψ 85 4 16 24 64 64 1 2 8 96 8 16 32 1 28 32 24 64 -1 [m/s] [m/s] radial-plybias-ply radial-plybias-ply 1.1 . to leading edge 0 o λ 1 16 1 8 1 4 1 2 ρ ρ ρ sin(2 π λ ) o ρ o ρ 0 0 .8 1 3.15 ρ 1 2 1 4 1 8 1 16 0 o λ = periodic lift off periodic lift off α _ α o 1 0.5 0 tyre vertical deflection average