James, M., Smith, G., Wolford, J., and Whaley, P. (1989). Vibration of Mechanical and Structural Systems. Singapore: Harper & Row Publishers. Home/Search Document Not in Database Summary Related Articles Check |
This paper is cited in the following contexts:
Specifying and Verifying Robotic Tasks - Shkel, Ferrier (Correct)
.... 2 n x = At B (3) where 1) for t 2 [0; t 1 ] 2) for t 2 (t 1 ; t 2 ] 2i n = K 1 d M ; 2 n = Kmax K 1 p M 2i n = K 2 d M ; 2 n = Kmax K 2 p M A = K 1 p V 0 M ; B = K 1 d V 0 M A = 0 ; B = K 2 p Fcont MKmax (4) The complete solution of (3) is (see e.g. [James et al. 1989]) x = e Gammai n t (C cos d t D sin d t) At B 2 n Gamma 2Ai 3 n (5) where d = n p 1 Gamma i 2 . Coefficients C and D can be found from the initial conditions for each interval xj t=0 = 0 xj t=0 = v 0 ) for t 2 [0; t 1 ] xj t=0 = 0 xj t=0 = x(t 1 ) ....
James, M., Smith, G., Wolford, J., and Whaley, P. (1989). Vibration of Mechanical and Structural Systems. Singapore: Harper & Row Publishers.
Specifying and Verifying Visual Grasping Tasks - Shkel, Ferrier (1997) (1 citation) (Correct)
.... x 2i n x 2 n x = At B (3) where 2i n=K 1 d =M ; 2 n = Kmax K 1 p ) M A=K 1 p v0=M ; B=K 1 d v0=M oe for t 2 [0; t 1 ] 2i n=K 2 d =M ; 2 n = Kmax K 2 p ) M A=0 ; B=K 2 p F c =MKmax oe for t 2 (t 1 ; t 2 ] 4) The complete solution of (3) is (see e.g. [11]) x = e Gammai n t (C cos d t D sin d t) At B 2 n Gamma 2Ai 3 n (5) where d = n p 1 Gamma i 2 . Coefficients C and D can be found from the initial conditions for each interval xj t=0 = 0 xj t=0 = v 0 oe t 2 [0; t 1 ] xj t=0 = 0 xj t=0 = x(t 1 ) oe t 2 ....
M. James, et al.Vibration of Mechanical and Structural Systems. Harper & Row, 1989.
Specifying and Verifying Robotic Tasks - Shkel, Ferrier (1997) (Correct)
.... 2 n x = At B (3) where 1) for t 2 [0; t 1 ] 2) for t 2 (t 1 ; t 2 ] 2i n = K 1 d M ; 2 n = Kmax K 1 p M 2i n = K 2 d M ; 2 n = Kmax K 2 p M A = K 1 p V0 M ; B = K 1 d V 0 M A = 0 ; B = K 2 p Fcont MKmax (4) The complete solution of (3) is (see e.g. [James et al. 1989]) x = e Gammai n t (C cos d t D sin d t) At B 2 n Gamma 2Ai 3 n (5) where d = n p 1 Gamma i 2 . Coefficients C and D can be found from the initial conditions for each interval xj t=0 = 0 xj t=0 = v 0 ) for t 2 [0; t 1 ] xj t=0 = 0 xj t=0 = x(t 1 ) ....
James, M., Smith, G., Wolford, J., and Whaley, P. (1989). Vibration of Mechanical and Structural Systems. Singapore: Harper & Row Publishers.
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