RESEARCH ON MECHANICAL CHARACTERISTICS OF TWO-DIMENSIONAL ABSOLUTE NODAL COORDINATE SHEAR BEAM ELEMENT BASED ON MODAL ANALYSIS (MT)
With the help of theoretical analysis and numerical simulation, the modal parameters of the two-dimensionally low-order beam elements and high-order beam elements based on the absolute nodal coordinate formulation were studied. The analytical solution of the first-order thickness natural frequency o...
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| Format: | Article |
| Language: | zho |
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Editorial Office of Journal of Mechanical Strength
2022-01-01
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| Series: | Jixie qiangdu |
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| Online Access: | http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2022.06.021 |
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| _version_ | 1841534402477162496 |
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| author | ZHOU Chuan ZHAO ChunHua DU YaPing GUO JiaHui ZHANG LiQiang |
| author_facet | ZHOU Chuan ZHAO ChunHua DU YaPing GUO JiaHui ZHANG LiQiang |
| author_sort | ZHOU Chuan |
| collection | DOAJ |
| description | With the help of theoretical analysis and numerical simulation, the modal parameters of the two-dimensionally low-order beam elements and high-order beam elements based on the absolute nodal coordinate formulation were studied. The analytical solution of the first-order thickness natural frequency of low-order and high-order beam elements considering the Poisson effect was derived. Based on the generalized characteristic equation, four natural frequencies and natural modes of bending, axial, shear and thickness of the shear beam element based on the absolute nodal coordinate formulation were obtained. Taking a simply supported beam structure as an example, the effects of the polynomial displacement field of the shear beam element on the four natural frequencies and natural modes of bending, axial, shear and thickness were analyzed. The results show that the polynomial displacement field of the shear beam element needs to introduce both the horizontal and vertical high-order terms x~2 and y~2. They mainly affect the bending and axial modal parameters, but have little effect on the shear and thickness modal parameters, and first-order thickness natural frequencies of the lower-order and higher-order beam elements is relatively close to the derived analytical solutions of first-order thickness natural frequencies. |
| format | Article |
| id | doaj-art-4cfd7a6b620f483f9a199e4e42365f3b |
| institution | Kabale University |
| issn | 1001-9669 |
| language | zho |
| publishDate | 2022-01-01 |
| publisher | Editorial Office of Journal of Mechanical Strength |
| record_format | Article |
| series | Jixie qiangdu |
| spelling | doaj-art-4cfd7a6b620f483f9a199e4e42365f3b2025-01-15T02:39:47ZzhoEditorial Office of Journal of Mechanical StrengthJixie qiangdu1001-96692022-01-011419142536350380RESEARCH ON MECHANICAL CHARACTERISTICS OF TWO-DIMENSIONAL ABSOLUTE NODAL COORDINATE SHEAR BEAM ELEMENT BASED ON MODAL ANALYSIS (MT)ZHOU ChuanZHAO ChunHuaDU YaPingGUO JiaHuiZHANG LiQiangWith the help of theoretical analysis and numerical simulation, the modal parameters of the two-dimensionally low-order beam elements and high-order beam elements based on the absolute nodal coordinate formulation were studied. The analytical solution of the first-order thickness natural frequency of low-order and high-order beam elements considering the Poisson effect was derived. Based on the generalized characteristic equation, four natural frequencies and natural modes of bending, axial, shear and thickness of the shear beam element based on the absolute nodal coordinate formulation were obtained. Taking a simply supported beam structure as an example, the effects of the polynomial displacement field of the shear beam element on the four natural frequencies and natural modes of bending, axial, shear and thickness were analyzed. The results show that the polynomial displacement field of the shear beam element needs to introduce both the horizontal and vertical high-order terms x~2 and y~2. They mainly affect the bending and axial modal parameters, but have little effect on the shear and thickness modal parameters, and first-order thickness natural frequencies of the lower-order and higher-order beam elements is relatively close to the derived analytical solutions of first-order thickness natural frequencies.http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2022.06.021Absolute nodal coordinate formulationPolynomial displacement fieldNatural frequencyNatural modeShear deformable beam element |
| spellingShingle | ZHOU Chuan ZHAO ChunHua DU YaPing GUO JiaHui ZHANG LiQiang RESEARCH ON MECHANICAL CHARACTERISTICS OF TWO-DIMENSIONAL ABSOLUTE NODAL COORDINATE SHEAR BEAM ELEMENT BASED ON MODAL ANALYSIS (MT) Jixie qiangdu Absolute nodal coordinate formulation Polynomial displacement field Natural frequency Natural mode Shear deformable beam element |
| title | RESEARCH ON MECHANICAL CHARACTERISTICS OF TWO-DIMENSIONAL ABSOLUTE NODAL COORDINATE SHEAR BEAM ELEMENT BASED ON MODAL ANALYSIS (MT) |
| title_full | RESEARCH ON MECHANICAL CHARACTERISTICS OF TWO-DIMENSIONAL ABSOLUTE NODAL COORDINATE SHEAR BEAM ELEMENT BASED ON MODAL ANALYSIS (MT) |
| title_fullStr | RESEARCH ON MECHANICAL CHARACTERISTICS OF TWO-DIMENSIONAL ABSOLUTE NODAL COORDINATE SHEAR BEAM ELEMENT BASED ON MODAL ANALYSIS (MT) |
| title_full_unstemmed | RESEARCH ON MECHANICAL CHARACTERISTICS OF TWO-DIMENSIONAL ABSOLUTE NODAL COORDINATE SHEAR BEAM ELEMENT BASED ON MODAL ANALYSIS (MT) |
| title_short | RESEARCH ON MECHANICAL CHARACTERISTICS OF TWO-DIMENSIONAL ABSOLUTE NODAL COORDINATE SHEAR BEAM ELEMENT BASED ON MODAL ANALYSIS (MT) |
| title_sort | research on mechanical characteristics of two dimensional absolute nodal coordinate shear beam element based on modal analysis mt |
| topic | Absolute nodal coordinate formulation Polynomial displacement field Natural frequency Natural mode Shear deformable beam element |
| url | http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2022.06.021 |
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