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e =v' −v' 21 (11) By combining Equation 10 and 11, the velocity of m2 after impact is solved as mv(1+e )+(m−me )v v2'=11 2,1 2 12,12 (12) m+m 12 By substituting Equation 9 and v2 = −v0 into Equation 12 and reorganizing, (13) (14) In perfect elastic collision, the coefficients of restitution will be 1 and velocity gain is 2.72. The higher velocity of m2 enables it to travel quicker and higher through the shaft than m0, and thus the PTFE film in MA-TENG could be in contact with the top electrode more easily and more frequently as compared to the one in SR-TENG, even when the latter could not reach the top under the same ambient vibration. In other words, the mechanical amplifier is able to act as a frequency amplifier and a displacement amplifier simultaneously in MA-TENG. However, it is important to note that Equation 13 and 14 are derived under the strict constraints of sequential pairwise collisions and rigid-body 2,1 v1 −v2 (1+e )(1+e ) v2'= 1,g 2,1−1v0 1+m2 m1 Therefore, the final velocity gain of m2 with respect to the m0 after impact is ' 1+e 1+e v 1( )( ) G=2= 1,g 2,1−1 v' e 1+mm 0 0,g 2 1 32PDF Image | HIGH PERFORMANCE TRIBOELECTRIC NANOGENERATOR AND ITS APPLICATIONS
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