1.Key Laboratory of Building Safely and Energy Efficiency of Ministry of Education,Hunan University,Changsha 410082,China;
2. College of Civil Engineering,Hebei University of Architecture,Zhangjiakou 075000,China
Abstract:The modal identification and analysis of a willow tree under force excitation and natural wind excitation were carried out, and it was found that part of the modal identification results under force excitation were missing while the main modes of willow tree could be better identified under natural wind excitation. With synthesizing the modal identification results of the two excitation, the first ten modes of willow tree were determined. Based on the actual willow shape and reasonable material parameters, a finite element analysis model was constructed for the willow tree, and modal analysis was carried out to obtain the first ten natural vibration frequencies and vibration modes of the willow tree. It was found that the vibration of the willow tree was mainly the one of the branch, while the one of the trunk was relatively small. Finally, the comparison between the finite element analysis results and the results of actual measurement showed that there was a good correspondence between them, which indicated that the construction of willow finite element model was correct, and the canopy structure of willow had a great influence on the dynamic characteristics of willow structure.
李正农1,赵帝1,钟旻2,吴红华1,陈斌1,徐海杰1. 树木动力特性的实测和有限元分析研究[J]. 振动与冲击, 2022, 41(2): 271-280.
LI Zhengnong1, ZHAO Di1, ZHONG Min2, WU Honghua1, CHEN Bin1, XU Haijie1. Measurement and finite element analysis of the dynamic characteristics of trees. JOURNAL OF VIBRATION AND SHOCK, 2022, 41(2): 271-280.
[1] 王良睦, 王中道, 许海燕. 9914~#台风对厦门市园林树木破坏情况的调查及对策研究[J]. 中国园林, 2000(04):65-68.
WANG Liangmu, WANG Zhongdao, XU Haiyan. The investigation and counter measures of landscape trees in the 9914# typhoon in Xiamen [J]. Journal of Chinese Landscape Architecture, 2000(04): 65-68.
[2] SUGDEN M J. Tree sway period: a possible new parameter for crown classification and stand competition [J]. Forestry Chronicle, 1962, 38: 336–344.
[3] MILNE R. Dynamics of swaying of Picea sitchensis [J]. Tree Physiology, 1991, 9(3): 383-399.
[4] JAMES K R. A Study of Branch Dynamics on an Open-Grown Tree[J]. Arboriculture & Urban Forestry, 2014, 40(3): 125-134.
[5] 陶嗣巍. 树木风振特性试验研究与有限元分析[D]. 北京林业大学, 2013.
TAO Siwei. Research on trees Wind-induced Vibration Characteristics Based on Testing Methods and FEM simulation [D]. Beijing Forestry University, 2013.
[6] HASSINEN A, LEMETTINEN M, PELTOLA H, et al. A prism-based system for monitoring the swaying of trees under wind loading [J]. Agricultural and Forest Meteorology,1998,90: 187-194.
[7] SCHINDLER D, SCHONBORN J, FUGMANN H, et al. Responses of an individual deciduous broadleaved tree to wind excitation[J]. Agricultural and Forest Meteorology, 2013, 177:69-82.
[8] SCHINDLER D , Vogt R , FUGMANN H , et al. Vibration behavior of plantation-grown Scots pine trees in response to wind excitation[J]. Agricultural and Forest Meteorology, 2010, 150(7-8): 0-993.
[9] GREENHILL G. Determination of the greatest height consistent with stability that a vertical pole or mast can be made, and the greatest height to which a tree of given proportions can grow [C]∥Proceedings of the Cambridge Philosophical Society, 1881(94): 65-73.
[10] SPATZ H C, SPECK O. Oscillation frequencies of tapered plant stems [J]. American Journal of Botany, 2002, 89(1): 1-11.
[11] JAMES K R ,HARITOS N, ADES P K. Mechanical stability of trees under dynamic loads[J]. American Journal of Botany, 2006, 93(10).
[12] MOORE J R , MAGUIRE D A. Simulating the dynamic behavior of Douglas-fir trees under applied loads by the finite element method[J]. Tree Physiology, 2008, 28(1): 75-83.
[13] CIFTCI C, BRENA S F, KANE B, et al. The effect of crown architecture on dynamic amplification factor of an open-grown sugar maple (Acer saccharumL.) [J]. Trees: Structure and Function, 2013, 27(4): 1175-1189.
[14] KANE B, SADEGHI Y M, JAMES K R, et al. Effects of crown structure on the sway characteristics of large decurrent trees[J]. Trees, 2014.
[15] 郭小农, 王丽, 相阳,等. 铝合金板式节点网壳阻尼特性试验研究[J]. 振动与冲击, 2016, 35(18):34-39.
GUO Xiaonong, WANG Li, XIANG Yang,et al. Experimental study on damping characteristics of aluminum alloy plate-type nodal mesh shell [J]. Journal of Vibration and Shock, 2016, 35(18): 34-39.
[16] 贺磊盈. 面向振动采收的果树枝干三维重建方法及其动力学特性研究[D]. 浙江理工大学, 2014.
HE Leiying. Researches on 3D reconstruction of fruit tree's trunkand its dynamic characteristics for vibratory harvesting [D]. Zhejiang University of Science and Technology ,2014.
[17] GURAU L, CIONCA M, MANSFIELD-WILLIAMS H , et al. Comparison of the mechanical properties of branch and stem wood for three species[J]. Wood and fiber science: journal of the Society of Wood Science and Technology, 2008, 40(4): 647-656.
[18] DAHLE G A, GRABOSKY J C. Variation in modulus of elasticity (E) along Acer platanoides L. (Aceraceae) branches [J]. Urban Forestry & Urban Greening, 2010, 9(3): 227-233.
[19] YANG Y B, YANG Y T, SU H H. Behavior of the Tree Branches, Trunk, and Root Anchorage by Nonlinear Finite Element Analysis [J]. Advances in Structural Engineering, 2005, 8(1): 1-14.
[20] JONSSON M J, FOETZKI A , KALBERER M, et al. Root-soil rotation stiffness of Norway spruce (Picea abies (L.) Karst) growing on subalpine forested slopes[J]. Plant & Soil, 2006, 285(1-2): 267-277.
[21] 江泽慧, 彭镇华. 世界主要树种木材科学特性 [M]. 北京:科学出版社 , 2001.
JIANG Zehui ,PENG Zhenhua. Wood properties of the globally important tree species [M]. Beijing : Science Press, 2001.
[22] SPECK T, BURGERT I. Plant Stems: Functional Design and Mechanics [J]. Annual Review of Materials Research, 2011, 41: 169-193.
[23] SELLIER D, FOURCAUD T, LAC P, et al. A finite element model for investigating effects of aerial architecture on tree oscillations.[J]. Tree Physiology, 2006: 799-806.