机械工程学报
機械工程學報
궤계공정학보
CHINESE JOURNAL OF MECHANICAL ENGINEERING
2014年
20期
188-194
,共7页
赵剑%陈国玺%高仁璟%刘书田
趙劍%陳國璽%高仁璟%劉書田
조검%진국새%고인경%류서전
多稳态%磁-机耦合%非线性%跳跃%柔性机构
多穩態%磁-機耦閤%非線性%跳躍%柔性機構
다은태%자-궤우합%비선성%도약%유성궤구
multistability%magnetic-mechanical coupling effects%nonlinear characteristic%snap-through%compliant mechanisms
跳跃非线性是制约多稳态特性(包括稳态个数、位置、阈值和行程)设计的难点。针对多稳态机构存在的关键稳态特征不可控问题,提出一种基于磁-机耦合效应的新型大行程多稳态机构及其设计方法,即引入空间变化磁场来调整系统局部能量极值点的分布状态,实现多稳态特性的精确设计。基于磁荷理论和伪刚体模型法,考虑结构几何大变形对空间磁场分布的影响,建立考虑位移补偿的多稳态非线性跳跃特性分析模型,分析磁结构参数、磁体数量与布置方式对多稳态特性的影响。基于能量变分原理提出多稳态特性设计的能量判据,揭示稳态与伪稳态之间的关系,得到稳态特征存在的条件。研制一种新型大行程7稳态机构样件,理论与试验结果基本一致,验证所提出的多稳态机构设计方法的可行性和有效性。
跳躍非線性是製約多穩態特性(包括穩態箇數、位置、閾值和行程)設計的難點。針對多穩態機構存在的關鍵穩態特徵不可控問題,提齣一種基于磁-機耦閤效應的新型大行程多穩態機構及其設計方法,即引入空間變化磁場來調整繫統跼部能量極值點的分佈狀態,實現多穩態特性的精確設計。基于磁荷理論和偽剛體模型法,攷慮結構幾何大變形對空間磁場分佈的影響,建立攷慮位移補償的多穩態非線性跳躍特性分析模型,分析磁結構參數、磁體數量與佈置方式對多穩態特性的影響。基于能量變分原理提齣多穩態特性設計的能量判據,揭示穩態與偽穩態之間的關繫,得到穩態特徵存在的條件。研製一種新型大行程7穩態機構樣件,理論與試驗結果基本一緻,驗證所提齣的多穩態機構設計方法的可行性和有效性。
도약비선성시제약다은태특성(포괄은태개수、위치、역치화행정)설계적난점。침대다은태궤구존재적관건은태특정불가공문제,제출일충기우자-궤우합효응적신형대행정다은태궤구급기설계방법,즉인입공간변화자장래조정계통국부능량겁치점적분포상태,실현다은태특성적정학설계。기우자하이론화위강체모형법,고필결구궤하대변형대공간자장분포적영향,건립고필위이보상적다은태비선성도약특성분석모형,분석자결구삼수、자체수량여포치방식대다은태특성적영향。기우능량변분원리제출다은태특성설계적능량판거,게시은태여위은태지간적관계,득도은태특정존재적조건。연제일충신형대행정7은태궤구양건,이론여시험결과기본일치,험증소제출적다은태궤구설계방법적가행성화유효성。
Due to the strong nonlinearity of the snap-through phenomenon of the multistable mechanism, it is difficult to design and control the multistable characteristics including stable state number, stable positions, snapping threshold and travelling stroke. To solve the design problems caused by the uncontrollable state features of the multistable mechanisms, a novel magnetic-mechanical based multistable mechanism with large travelling stroke is proposed by introducing the spatial arranged magnets to assist the energy storage and release procedure of the mechanical system, with which the local minimal energy positions can be designed by properly incorporating the compliant mechanisms and multi-magnets. Considering the influence of the nonlinear mechanical deformation on the magnetic field distribution, the accurate mathematical model for analyzing the nonlinear snap-through characteristic is established based on the magnetic charged model and the pseudo rigid body model method. Additionally, the influence of the magnetic pole direction, the magnet number and their arrangement on the multistable characteristic is theoretically analyzed, which is validated by the FEM simulation. Accordingly, the energy criterion for the magnetic-mechanical coupled multistability is obtained, thus resulting in the relationship between the real stable state and pseudo stable state. With the prerequisites for multistable features, a novel heptastable mechanism is manufactured. The good consistency between the simulation and experimental results adequately validate the correctness of the proposed model.