Variational principle for nonlinear oscillator arising in a fractal nano/microelectromechanical system

被引：32
|
作者：
Wang, Kang-Le [1 ]
机构：
[1] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo, Henan, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2020年
关键词：
fractal derivative; fractal semi-inverse method; homotopy perturbation method; nano; microelectromechanical system; two-scale transform method; HE-LAPLACE METHOD; EQUATIONS; VIBRATION; BEAMS; INSTABILITY; CALCULUS;
D O I：
10.1002/mma.6726
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, a nonlinear oscillator model with a fractal derivative is successfully established for a fractal nano/microelectromechanical system (MEMS), and its variational principle is obtained by the semi-inverse method. The established variational formulation suggests an energy conservation for the fractal nonlinear oscillator, and its approximate analytical solution is found by the two-scale transform and homotopy perturbation method; Laplace transform is used in the solution process. This paper sheds a new light on fractal MEMS.
引用
收藏
页数：10
相关论文
共 50 条
12345