Vibration and propagation characteristics of a functionally graded nanobeam based on the nonlocal theory
HE Dongze1，SHI Dongyan1，WANG Qingshan2,3，MA Chunlong1,4
1.College of Mechanical and Electrical Engineering, Harbin Engineering University, Harbin 150001, China;
2.College of Mechanical and Electrical Engineering, Central South University, Changsha 410083, China;
3.State Key Laboratory of High Performance Complex Manufacturing, Central South University, Changsha 410083, China;
4.Department of Automotive Engineering, Harbin Vocational & Technical College, Harbin 150001, China
According to the nonlocal elastic theory, the governing equations of a functionally graded Timoshenko nanobeam is proposed. The vibration characteristics of functionally graded nanobeam with various boundary conditions are investigated by a semi-analytical method in this paper. Through the comparison of the results by presented method with the solutions in reported literature, the calculation correctness is verified. Furthermore, the effect of nonlocal parameter and power-law exponent on the vibration and propagation characteristics of nonlocal functionally graded nanobeam is discussed. Finally, the calculation correctness by presented method is verified, each parameter has its own effect on the vibration and propagation characteristics of nonlocal functionally graded nanobeam.
何东泽1，史冬岩1，王青山2,3，马春龙1,4. 非局部功能梯度梁结构振动与波传播特性研究[J]. 振动与冲击, 2022, 41(10): 47-54.
HE Dongze1，SHI Dongyan1，WANG Qingshan2,3，MA Chunlong1,4. Vibration and propagation characteristics of a functionally graded nanobeam based on the nonlocal theory. JOURNAL OF VIBRATION AND SHOCK, 2022, 41(10): 47-54.
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