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The pull-in behavior is an inherent property of the micro-electromechanical oscillator. The bisection method and an iterative method are introduced to find its pull-in voltage, and the main factors affecting the pull-in voltage are elucidated. The simple and efficient operability is demonstrated through theoretical analysis and result comparison.

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This paper proposes a simple frequency formula developed from He’s frequency formulation for fractal systems. In this approach, the initial guess can be judiciously chosen. Even the simplest initial guess leads to a highly accurate approximate solution. A detailed theoretical development is elucidated, and the solving process is given step by step. The simple calculation and reliable results have been merged into an effective tool for deeply studying fractal vibration systems, and the present approach offers a completely new angle for the fast insight into the physical properties of a non-linear vibration system in a fractal space.

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The biotransformation of digoxigenin by Colletotrichum lini AS3. 4486 was investigated. The conversion reaction was carried out in a 72h process, and the sole products was isolated by column chromatography and elucidated as digoxigenone by HR-ESI-MS, 1 H-NMR , 13 C-NMR and single-crystal X-ray diffraction. The crystal of digoxigenone belongs to triclinic, space group P1 with 7.4017 (15), 7.7450 (15), 10.215 (2) Å , α = 99.51(3), β = 94.70 (3), γ = 114.97 (3)°, Z = 1. This study povides a new method for the synthesis of digoxigenone.