Chen Guang, Hong Jie, Ma Yanhong. Structure of aero gas turbine engines [M]. Beijing: BUAA Press, 2010: 307―308. (in Chinese)
[4]
Limmer L, Nowell D, Hills D A. A combined testing and modeling approach to the prediction of the fretting fatigue performance of splined shafts [J]. Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering, 2001, 215(2): 105―112.
Li Junhui, Ma Yanhong, Hong Jie. Dynamic design method of spline joint structure for rotor system. [J] Aero-engine, 2009, 35(4): 36―39. (in Chinese)
[7]
刘延柱, 陈立群. 非线性振动[M]. 北京: 高等教育出版社, 2001: 59―61.
[8]
Liu Yanzhu, Chen Liqun. Nonlinear vibration [M]. Beijing: Higher Education Press, 2001: 59―61. (in Chinese)
[9]
Kilho Eom, Harold S Park, Dae Sung Yoon, Taeyun Kwon. Nanomechanical resonators and their applications in biological/chemical detection: Nanomechanics principles [J]. Physics Reports, 2011, 503(4): 115―163.
[10]
Anja Boisen, Søren Dohn, Stephan Sylvest Keller, Silvan Schmid, Maria Tenje. Cantilever-like micromechanical sensors [J]. Reports on Progress in Physics, 2011, 74(3): 36101―36130.
[11]
Lam D C C, Yang F, Chong A C M, et al. Experiments and theory in strain gradient elasticity [J]. Journal of the Mechanics and Physics of Solids, 2003, 51(8): 1477―1508.
[12]
郭香华, 方岱宁, 李喜德. 用电子散斑法对纯镍薄片弯曲变形的测量[J]. 力学与实践, 2005, 27(2): 22―25. Guo Xianghua, Fang Daining, Li Xide. Measurement of deformation of pure Ni foils by speckle pattern interferometry [J]. Mechanics in Engineering, 2005, 27(2): 22―25. (in Chinese)
[13]
Toupin R A. Elastic materials with couple-stresses [J]. Archive for Rational Mechanics and Analysis, 1962, 11(1): 385―414.
[14]
Mindlin R D. Micro-structure in linear elasticity [J]. Archive for Rational Mechanics and Analysis, 1964, 16(1): 51―78.
[15]
Yang F, Chong A C M, Lam D C C, et al. Couple stress based strain gradient theory for elasticity [J]. International Journal of Solids and Structures, 2002, 39(10): 2731―2743.
[16]
Park S K, Gao X L. Bernoulli-Euler beam model based on a modified couple stress theory [J]. Journal of Micromechanics and Microengineering, 2006, 16(11): 2355―2359.
[17]
Kong S L, Zhou S J, Nie Z F, Wang K. The size-dependent natural frequency of Bernoulli-Euler micro-beams [J]. International Journal of Engineering Science, 2008, 46(4): 427―437.
[18]
Kong S L, Zhou S J, Nie Z F, Wang K. Static and dynamic analysis of micro beams based on strain gradient elasticity theory [J]. International Journal of Engineering Science, 2009, 47(4): 487―498.
[19]
Wang Binglei, Zhao Junfeng, Zhou Shenjie. A micro scale Timoshenko beam model based on strain gradient elasticity theory [J]. European Journal of Mechanics A/Solids, 2010, 29(4): 591―599.
[20]
袁明权. 硅基微机械加工技术[J]. 半导体技术, 2001, 26(8): 6―10. Yuan Mingquan. Micro-machining based on silicon [J]. Semiconductor Technology, 2001, 26(8): 6―10. (in Chinese)
[21]
刘月明, 田维坚, 张少君. 硅微机械悬臂梁红外辐射热探测技术的研究[J]. 光子学报, 2004, 33(3): 371―374. Liu Yueming, Tian Weijian, Zhang Shaojun. Study on infrared detection techniques using the micromechanical silicon cantilever [J]. Acta Photonica Sinica, 2004, 33(3): 371―374. (in Chinese)
[22]
Chuang T J, Lee S. Elastic flexure of bilayered beam subject to strain differentials [J]. Journal of Materials Research, 2000, 15(12): 2780―2788.
[23]
Zhang Nenghui, Chen Jianzhong. Elastic bending analysis of bilayered beams by an alternative two-variable method [J]. European Journal of Mechanics A/Solids, 2009, 28(2): 284―288.
[24]
Zhang N H, Meng W L, Aifantis E C. Elastic bending analysis of bilayered beams containing a gradient layer by an alternative two-variable method [J]. Composite Structures, 2011, 93(12): 3130―3139.
[25]
李莉, 陈万吉, 郑楠. 修正偶应力理论层合薄板稳定性模型及尺度效应[J]. 工程力学, 2013, 30(5): 1―7. Li Li, Chen Wanji, Zheng Nan. Model of composite laminated thin plate based on modified couple stress theory and buckling analysis of scale effects [J]. Engineering Mechanics, 2013, 30(5): 1―7. (in Chinese)
[26]
聂志峰, 周慎杰, 王凯, 孔胜利. 应变梯度弹性理论 C 1自然邻近伽辽金法[J]. 工程力学, 2009, 26(9): 10―15. Nie Zhifeng, Zhou Shenjie, Wang Kai, Kong Shengli. C 1 natural neighbor Galerkin method for strain gradient elasticity [J]. Engineering Mechanics, 2009, 26(9): 10―15. (in Chinese)
[27]
聂志峰, 周慎杰, 韩汝军, 肖林京, 王凯. 应变梯度弹性理论下微构件尺寸效应的数值研究[J]. 工程力学, 2012, 29(6): 38―46. Nie Zhifeng, Zhou Shenjie, Han Rujun, Xiao Linjing, Wang Kai. Numerical study on size effects of the microstructures based on strain gradient elasticity [J]. Engineering Mechanics, 2012, 29(6): 38―46. (in Chinese)