甘肃高师学报
甘肅高師學報
감숙고사학보
JOURNAL OF GANSU NORMAL COLLEGES
2012年
2期
40-42
,共3页
刚体定点运动%静止惯性系%非惯性系%欧拉角%群元%正交归一%并矢%主动观点%被动观点
剛體定點運動%靜止慣性繫%非慣性繫%歐拉角%群元%正交歸一%併矢%主動觀點%被動觀點
강체정점운동%정지관성계%비관성계%구랍각%군원%정교귀일%병시%주동관점%피동관점
Rigid-body rotation around a fixed point%motionless inertial coordinate system%noninertial system%Euler angles%group element%orthonormal%dyadic%active views of rotation%passive views of rotation
群论和经典力学的某些权威著作,在同一命题下,给出的以欧拉角为参量的转动矩阵竟然不相等,这是为什么?文中给出了解说.最后指出刚体定点运动的两个SO(3)群的群元矩阵虽然不同,但却有简单关系.
群論和經典力學的某些權威著作,在同一命題下,給齣的以歐拉角為參量的轉動矩陣竟然不相等,這是為什麽?文中給齣瞭解說.最後指齣剛體定點運動的兩箇SO(3)群的群元矩陣雖然不同,但卻有簡單關繫.
군론화경전역학적모사권위저작,재동일명제하,급출적이구랍각위삼량적전동구진경연불상등,저시위십요?문중급출료해설.최후지출강체정점운동적량개SO(3)군적군원구진수연불동,단각유간단관계.
The authoritative books of group theory classical mechanics under the same proposition gives rotation matrixes of rotating rigid-body around a fixed point with the Euler angles parameter.Which is unexpectedly different,this ia why?Every why has its wherefore,this article gives explanation.At last,we point out motional rigid-body with a fixed point have two group SO(3),the matrix element of them although is different,yet they have simple relationship.