中文摘要：

通过坐标系建立、浮动数轴概念提出和推程前半／后半区段划分，特别是通过引入偏距，在预定连杆方位线——一维综合前提框架下，关于偏置式机构，提出整程区间套存在性（态）内涵及求解原理，滚子中心、凸轮理论基圆半径的存在性（态），非劣解、劣解区间套和区间最优解等的求解理论方法。随之，对偏距解得其有解区间套，在非预定连杆方位线——二维综合前提框架下，关于偏置／正置式机构，提出整程区域套——机构解全域、非劣解、劣解区域套和全域最优解等新概念及其求解理论方法。在已有正置式机构第Ⅱ类综合问题研究成果基础上，研究解决了偏置式机构的一维和偏置／正置式机构的二维第Ⅱ类综合问题。拓展丰富了机构综合问题的解空间和优解空间，阐释论证了引入偏置式机构并开展研究具有重要的理论价值和实际意义。通过两个机构综合实例，论证了偏置式较正置式机构的优越性。

英文摘要：

By establishing a coordinate system, introducing the concept of rotation floating axis, dividing the first/second half period on the rise, especially introducing offset, under the premise framework of the 1-D synthesis on the scheduled bearing line of linkage, the existing form and solution concept of the whole nested interval, the existing form of roller center and theory base circle radius, and the solution theory of inferior/non-inferior solution nested region and the optimal solution of interval were presented. Accordingly, the solution set of offset mechanism were solved. Under the premise framework of the 2-D synthesis on the non-scheduled bearing line of linkage, the proposed concept and its solution theory of whole mechanism solution, inferior/non-inferior solution nested region and the optimal solution of the whole solution were presented. Based on the research result of the classⅡ synthesis problem of the non- offset mechanism, the 1-D and 2-D class Ⅱ synthesis of offset mechanism were solved. It enriched the solution space and optimal solution space, and demonstrated the important theoretical value and practical significance of the offset mechanism. Finally, by providing two synthesis examples, it demonstrated that the offset mechanism was greatly superior to the non-offset mechanism.