naa a22 4500 510822053 CHVBK 20180411083538.0 cr unu---uuuuu 180411e20130601xx s 000 0 eng 10.1007/s12541-013-0120-0 doi (NATIONALLICENCE)springer-10.1007/s12541-013-0120-0 Optimal design of a QZS isolator using flexures for a wide range of payload [Elektronische Daten] [Kyoung-Rock Kim, Yo-han You, Hyeong-Joon Ahn] This paper presents an optimal design of QZS (Quasi-zero stiffness) isolator using flexures for wide range of payload. The QZS isolators have both appreciable static stiffness for gravity compensation and very small (theoretically zero) dynamic stiffness for vibration isolation. Since the stronger vertical spring brings out more gravity compensation within a given stroke of the gravity compensation, the QZS isolator need to have strong vertical stiffness to support wide range of payload. First, the dynamic model of QZS isolator using flexures is illustrated based on the previous non-dimensional analysis of flexure. Then, some design considerations for flexure are discussed and optimal design problem of the QZS isolator is formulated mathematically to maximize the stiffness of the vertical spring. As a result, optimal shape ratio of flexure to maximize stiffness of the vertical spring can be determined. Finally, the design procedure for flexure of the QZS isolator is summarized and illustrated with a design example. Korean Society for Precision Engineering and Springer-Verlag Berlin Heidelberg, 2013 Optimal design nationallicence Flexure nationallicence Non-dimensional analysis nationallicence Quasi-zero stiffness isolator nationallicence A 1∼6 : Coefficients for parasitic motion nationallicence B, b : Dimensional and non-dimensional width of flexure nationallicence c : Non-dimensional damping coefficient for isolator system nationallicence E : Young's modulus of flexure material nationallicence f : Vertical direction force from flexure nationallicence g : Number of flexures nationallicence H, h : Dimensional and non-dimensional height of notched part of flexure nationallicence I : Area inertia of notched part nationallicence k h : Non-dimensional stiffness of horizontal coil spring nationallicence K v , k v : Dimensional and non-dimensional stiffness of vertical coil spring nationallicence L : Total length of flexure nationallicence L a , L b : Length of notched and thick parts of flexure nationallicence m : Non-dimensional mass of payload nationallicence MT, mt : Dimensional and non-dimensional bending moment at notched part nationallicence MT M , mt M : Maximum dimensional and non-dimensional bending moment at notched part nationallicence n : Shape ratio of flexure (n = L b /L a ) nationallicence p : Compression force nationallicence p cr. 1,2 : Non-dimensional compression force of 1st and 2nd buckling mode nationallicence s : Number of flexures on one side of the payload nationallicence w(t) : Disturbance or external force nationallicence x 0 : Non-dimensional initial deformation of horizontal spring nationallicence x l : Non-dimensional parasitic motion at the end of the flexure nationallicence y 0 : Initial gravity compensation nationallicence Y m , y m : Dimensional and non-dimensional vertical motion of the payload nationallicence β : Safety factor for yield stress nationallicence γ : Safety factor for compression force nationallicence σ E : Yield stress of flexure material nationallicence σ M : Allowable stress of flexure material nationallicence Kim Kyoung-Rock Graduate School, Department of Mechanical Engineering, Soongsil University, 369, Sangdo-ro, Dongjak-gu, 156-743, Seoul, Korea aut You Yo-han Graduate School, Department of Mechanical Engineering, Soongsil University, 369, Sangdo-ro, Dongjak-gu, 156-743, Seoul, Korea aut Ahn Hyeong-Joon Department of Mechanical Engineering, Soongsil University, 369, Sangdo-ro, Dongjak-gu, 156-743, Seoul, Korea aut International Journal of Precision Engineering and Manufacturing Korean Society for Precision Engineering 14/6(2013-06-01), 911-917 2234-7593 14:6<911 2013 14 12541 https://doi.org/10.1007/s12541-013-0120-0 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s12541-013-0120-0 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Kim Kyoung-Rock Graduate School, Department of Mechanical Engineering, Soongsil University, 369, Sangdo-ro, Dongjak-gu, 156-743, Seoul, Korea aut NATIONALLICENCE 700 1- You Yo-han Graduate School, Department of Mechanical Engineering, Soongsil University, 369, Sangdo-ro, Dongjak-gu, 156-743, Seoul, Korea aut NATIONALLICENCE 700 1- Ahn Hyeong-Joon Department of Mechanical Engineering, Soongsil University, 369, Sangdo-ro, Dongjak-gu, 156-743, Seoul, Korea aut NATIONALLICENCE 773 0- International Journal of Precision Engineering and Manufacturing Korean Society for Precision Engineering 14/6(2013-06-01), 911-917 2234-7593 14:6<911 2013 14 12541 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer