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By Qingsong Xu

An cutting edge and well timed consultant to the modeling, layout and implementation of large-range compliant micropositioning platforms in accordance with flexure hinges - positive aspects leading edge compact mechanism designs for large-range translational and rotational positioning- offers unique and concise therapy of assorted flexure hinges with well-presented layout and keep watch over tools- specializes in layout implementation and applications Read more...

summary: An cutting edge and well timed consultant to the modeling, layout and implementation of large-range compliant micropositioning platforms in keeping with flexure hinges - beneficial properties leading edge compact mechanism designs for large-range translational and rotational positioning- offers unique and concise remedy of assorted flexure hinges with well-presented layout and keep watch over equipment- specializes in layout implementation and purposes via certain examples

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Design and Implementation of Large-Range Compliant Micropositioning Systems

An cutting edge and well timed consultant to the modeling, layout and implementation of large-range compliant micropositioning structures in response to flexure hinges - gains cutting edge compact mechanism designs for large-range translational and rotational positioning- presents unique and concise remedy of assorted flexure hinges with well-presented layout and regulate equipment- specializes in layout implementation and functions via special examples.

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42) Then, substituting Eqs. 42) into the sliding function Eq. 37), a necessary algebra manipulation leads to sk = K3 ek−2 + K2 ek−1 + K1 (xk − rk ) K K K1 p̃ − 1 s sign(sk−1 ) ̄k k k̄ K = sk−1 − 1 [̃pk + Ks sign(sk−1 )] k̄ = sk−1 − where the parameters k̄ and K1 are positive definite. 43) Design and Implementation of Large-Range Compliant Micropositioning Systems 38 In the case of sk−1 ≥ 0, it can be deduced that, if Ks ≥ |̃pk | holds, then sk = sk−1 − K1 (̃pk + Ks ) k̄ ≤ sk−1 . 45) provided that Ks ≥ |̃pk | holds.

25 mm, which satisfies the performance requirements. 1. The model error is calculated by taking the FEA simulation result as the benchmark. It is found that the analytical results are in good agreement with the simulation results, which verifies the accuracy of the established quantitative models of the stage. 9 64 Natural frequency versus parameters h and l. The maximum frequency is marked by a circle. 4 Structure Improvement To assess the dynamics performance of the stage, modal analysis is also conducted with ANSYS software.

41) where sign(⋅) denotes the signum function and Ks is a positive switching gain. The following stability analysis reveals that the discrete sliding mode will occur after a finite number of steps. First, substituting the estimated perturbation term in Eq. 33) into the dynamic model in Eq. 34) allows the calculation of the position: xk = 1 ̄ ̄ k−1 − p̃ k ]. 42) Then, substituting Eqs. 42) into the sliding function Eq. 37), a necessary algebra manipulation leads to sk = K3 ek−2 + K2 ek−1 + K1 (xk − rk ) K K K1 p̃ − 1 s sign(sk−1 ) ̄k k k̄ K = sk−1 − 1 [̃pk + Ks sign(sk−1 )] k̄ = sk−1 − where the parameters k̄ and K1 are positive definite.

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