| 摘要 |
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 Fm 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; <DF>F(m)=FmÄ1 1 ... 1ÜÄexp(im• alpha 1)exp(im• alpha 2) ... exp(im• alpha n)Ü<t> =Fm•gm </DF> and ¾gm¾ is an absolute value of a non-dimensional coefficient of F(m) and is represented by; <DF>¾gm¾=absäÄ1 1... 1Ü Äexp(im• alpha 1) exp(im• alpha 2) ... exp(im• alpha n)Ü<t>ü; </DF> a restrictive condition is set in which ¾gm¾ 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; <DF>M(k)=FkLÄs1 s2 ... snÜÄexp(ik• alpha 1) exp(ik• alpha 2) ... exp(ik• alpha n)Ü<t> = FkL• fk </DF> and ¾fk¾ is an absolute value of a non-dimensional coefficient of the unbalanced couple, that is obtained by M(k) being divided by FkL, and is represented by; <DF>¾fk¾=abs äÄs1 s2 ... snÜÄexp(ik• alpha 1) exp(ik• alpha 2) ... exp(ik• alpha n)Ü<t>ü ; </DF> 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 ¾fk¾, n being an even number.
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