Method for determining an angle of crank arrangement in a...

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F02B 75/18 (2006.01) F02B 75/12 (2006.01) F02B 75/20 (2006.01) F02B 75/22 (2006.01) F16F 15/20 (2006.01) F16F 15/24 (2006.01) F02B 75/02 (2006.01)

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CA 2416958

In a multi-cylinder reciprocating internal combustion engine, an optimal angle of crank arrangement that reduces vibrating force caused in the engine is obtained. Where F m is the sum of an unbalanced force of order m that acts as vibrating force in the multi-cylinder reciprocating internal combustion engine (having the number of crank throws of n) and is represented by; F(m)=F m[1 1 ... 1](exp(im..alpha.1) exp(im..alpha. 2) ... exp(im..alpha.n]t =F m~gm and ¦g m¦ is an absolute value of a non-dimensional coefficient of F(m) and is represented by; ¦g m¦=abs{[1 1 ... 1][exp(im. .alpha.1) exp(im. .alpha.2) ... exp(im. .alpha. n)]t}; a restrictive condition is set in which ¦g m¦ is endlessly approached to zero, and where M(k) is an unbalanced couple that is expressed by the unbalanced force of order k of each crank throw, weighted by distance L between each cylinder, and is represented by; M(k)=F k L[S1 S2 ... S n][exp(ik. .alpha.1) exp(ik. .alpha.2) ... exp(ik. .alpha. n)]t = F kL. f k and ¦f k¦ is an absolute value of a non-dimensional coefficient of the unbalanced couple, that is obtained by M(k) being divided by F k L, and is represented by; ¦f k¦ =abs {[S1 S2 ... S n][exp(ik.cndot. .alpha.1) exp(ik.cndot. .alpha. 2) ... exp(ik.cndot. .alpha. n)]t}; an angle of the crank throw arrangement .alpha.j (j= 1, 2, ... , n.) is obtained to be determined by an expression on an orthogonal coordinate system, the angle of the crank throw arrangement .alpha.j minimizing, under the restrictive condition, the n-th power of ¦f k¦, n being an even number. 42

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