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In order to matches the large-displacement character of the compliant mechanisms, a nonlinear optimization method for designing micro-clamps is presented by combining the theory of element-free Galerkin method(EFGM) and topology optimization. The performance of the micro-clamp produced according to the design result is tested. The structural response analysis and sensitivity analysis are carried out by using EFGM, which matches the natural geometrically nonlinear behavior of micro-clamp. According to the topologies designed by linear and nonlinear meshless methods, two kinds of micro-clamps are produced. The force-displacement responses of the micro-clamps are then tested. And the result shows that the nonlinear EFGM is better for designing compliant micro-clamps than the linear EFGM.