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Volume 12, Issue 6
Transient Response of High Dimensional Nonlinear Dynamic System for a Rotating Cantilever Twisted Plate

Yuxin Hao, Xiaojun Gu, Wei Zhang & Jie Chen

Adv. Appl. Math. Mech., 12 (2020), pp. 1542-1564.

Published online: 2020-09

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  • Abstract

Dynamic transient responses of rotating twisted plate under the air-blast loading and step loading respectively considering the geometric nonlinear relationships are investigated using classical shallow shell theory. By applying energy principle, a novel high dimensional nonlinear dynamic system of the rotating cantilever twisted plate is derived for the first time. The use of variable mode functions by polynomial functions according to the twist angles and geometric of the plate makes it more accurate to describe the dynamic system than that using the classic cantilever beam functions and the free-free beam functions. The comparison researches are carried out between the present results and other literatures to validate present model, formulation and computer process. Equations of motion describing the transient high dimensional nonlinear dynamic response are reduced to a four degree of freedom dynamic system which expressed by out-plane displacement. The effects of twisted angle, stagger angle, rotation speed, load intensity and viscous damping on nonlinear dynamic transient responses of the twisted plate have been investigated. It's important to note that although the homogeneous and isotropic material is applied here, it might be helpful for laminated composite, functionally graded material as long as the equivalent material parameters are obtained.

  • AMS Subject Headings

34A34

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COPYRIGHT: © Global Science Press

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@Article{AAMM-12-1542, author = {Hao , YuxinGu , XiaojunZhang , Wei and Chen , Jie}, title = {Transient Response of High Dimensional Nonlinear Dynamic System for a Rotating Cantilever Twisted Plate}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2020}, volume = {12}, number = {6}, pages = {1542--1564}, abstract = {

Dynamic transient responses of rotating twisted plate under the air-blast loading and step loading respectively considering the geometric nonlinear relationships are investigated using classical shallow shell theory. By applying energy principle, a novel high dimensional nonlinear dynamic system of the rotating cantilever twisted plate is derived for the first time. The use of variable mode functions by polynomial functions according to the twist angles and geometric of the plate makes it more accurate to describe the dynamic system than that using the classic cantilever beam functions and the free-free beam functions. The comparison researches are carried out between the present results and other literatures to validate present model, formulation and computer process. Equations of motion describing the transient high dimensional nonlinear dynamic response are reduced to a four degree of freedom dynamic system which expressed by out-plane displacement. The effects of twisted angle, stagger angle, rotation speed, load intensity and viscous damping on nonlinear dynamic transient responses of the twisted plate have been investigated. It's important to note that although the homogeneous and isotropic material is applied here, it might be helpful for laminated composite, functionally graded material as long as the equivalent material parameters are obtained.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.OA-2019-0180}, url = {http://global-sci.org/intro/article_detail/aamm/18299.html} }
TY - JOUR T1 - Transient Response of High Dimensional Nonlinear Dynamic System for a Rotating Cantilever Twisted Plate AU - Hao , Yuxin AU - Gu , Xiaojun AU - Zhang , Wei AU - Chen , Jie JO - Advances in Applied Mathematics and Mechanics VL - 6 SP - 1542 EP - 1564 PY - 2020 DA - 2020/09 SN - 12 DO - http://doi.org/10.4208/aamm.OA-2019-0180 UR - https://global-sci.org/intro/article_detail/aamm/18299.html KW - Cantilever twisted plate, rotating, blast loading, transient response, high dimensional nonlinear dynamics. AB -

Dynamic transient responses of rotating twisted plate under the air-blast loading and step loading respectively considering the geometric nonlinear relationships are investigated using classical shallow shell theory. By applying energy principle, a novel high dimensional nonlinear dynamic system of the rotating cantilever twisted plate is derived for the first time. The use of variable mode functions by polynomial functions according to the twist angles and geometric of the plate makes it more accurate to describe the dynamic system than that using the classic cantilever beam functions and the free-free beam functions. The comparison researches are carried out between the present results and other literatures to validate present model, formulation and computer process. Equations of motion describing the transient high dimensional nonlinear dynamic response are reduced to a four degree of freedom dynamic system which expressed by out-plane displacement. The effects of twisted angle, stagger angle, rotation speed, load intensity and viscous damping on nonlinear dynamic transient responses of the twisted plate have been investigated. It's important to note that although the homogeneous and isotropic material is applied here, it might be helpful for laminated composite, functionally graded material as long as the equivalent material parameters are obtained.

Yuxin Hao, Xiaojun Gu, Wei Zhang & Jie Chen. (2020). Transient Response of High Dimensional Nonlinear Dynamic System for a Rotating Cantilever Twisted Plate. Advances in Applied Mathematics and Mechanics. 12 (6). 1542-1564. doi:10.4208/aamm.OA-2019-0180
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