Dynamic contact model of shell for multibody system applications

Shi, Jiabei; Liu, Zhuyong; Hong, Jin

doi:10.1007/s11044-018-09641-5

Cited by 15 publications

(3 citation statements)

References 36 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In each integration step, the generalized force vector and the tangent stiffness matrix need to be updated, and the parallel computational technique is used to improve the efficiency. Furthermore, since contact impact leads to some discontinuous features, including high-frequency oscillations, the variable step-size control method [55] is used to adjust the accepted step size h p in the integration process. Afterward, if t \ t end , the time integration continues until t = t end , and then the algorithm enters the post-process module.…”

Section: Dynamic Equations Of the Flexible Multibody Systemmentioning

confidence: 99%

Nonlinear dynamic formulation for flexible origami-based deployable structures considering self-contact and friction

et al. 2021

Self Cite

View full text Add to dashboard Cite

Compared with the conventional rigid origami, the flexible origami has larger deformation and more complicated mechanical property and nonlinear problems due to self-contact and friction. In this paper, the nonlinear dynamic formulation for flexible origami-based deployable structures considering selfcontact and friction is investigated. Firstly, a symmetric rigid origami model is presented based on the forward recursive formulation without the inclusion of contact, and then, a discretized dynamic model for flexible origami structures is established by using thin plate element of absolute nodal coordinate formulation. To consider the normal contact, the penalty method is adopted to enforce the nonpenetration condition. In order to improve the precision and applicability, a modified mixed contact method considering the friction effect is developed by integrating the advantages of node-to-surface, edge-to-surface and surface-to-surface contact elements. This proposed method can effectively avoid the mutual penetration of different corner nodes, element edges and contact element surfaces. Moreover, the tangential friction model considering the stick-slip transition and large sliding is established by the regularized Coulomb friction law. A series of numerical examples validate the effectiveness of the proposed mixed contact method considering the friction and show the advantage of the flexible model compared with the rigid origami model. Furthermore, the nonlinear performance of the flexible origami-based deployable structures due to the contact and friction is revealed.

show abstract

Section: Dynamic Equations Of the Flexible Multibody Systemmentioning

confidence: 99%

Nonlinear dynamic formulation for flexible origami-based deployable structures considering self-contact and friction

et al. 2021

Self Cite

View full text Add to dashboard Cite

show abstract

“…Yu et al [34] established the frictional contact formulation between flexible and rigid bodies through the Hertz contact model and the velocity-based friction model. Shi et al [35] presented a rotation-free shell formulation and an extended contact discretization for the dynamics of multibody systems with large deformations and frictionless contacts. Sun et al [36,37] developed a new 2D segment-to-segment algorithm of contact dynamics based on ANCF and mortar method, including both frictionless and friction cases.…”

Section: Introductionmentioning

confidence: 99%

Rigid–flexible–thermal coupling dynamics of a hub and multiplate system considering frictional contact

et al. 2023

View full text Add to dashboard Cite

A geometric nonlinear modeling approach for strong rigid-flexible-thermal coupling dynamics of the hub and multi-plate system considering frictional contact is proposed. Based on the absolute nodal coordinate formulation (ANCF), a thermal integrated ANCF thin plate element is developed, where the temperature field is expressed with Taylor polynomials to yield two-dimensional heat conduction equations. Different from the traditional coupling formulations, the influences of the attitude motion and structural deformation on the intensity of the solar radiation, the geometric nonlinearity of the plate as well as the frictional contact are taken into account. The normal contact is formulated by the penalty method, and the tangential friction considers the stick-slip transition. To solve the strong rigid-flexible-thermal coupling equations, a novel numerical method combining the modified central difference approach and the generalized- method is proposed. Two validations are performed to verify the proposed thermal-structural coupling model, which proves the importance of the geometric nonlinearity and can capture the thermally induced vibration. Then the thermal-dynamic coupling analysis for the satellite and solar array multibody system in thermal environment is carried out. The dynamic characteristics of the thermally induced vibration can be successfully revealed by the rigid-flexible-thermal coupling model. Furthermore, it is indicated that the influence of contact and thermal load on the nonlinear behavior of the solar array deployment is essential, which demonstrates the feasibility of the proposed approach.

show abstract

“…Short contact/impact action time and large impact force cause severe disturbance and sudden changes in system dynamics, hence the need to simulate the dynamics of contact/impact with high precision. At present, the finite element method is the most widely used method to simulate contact/impact problems (Zhang et al, 2019; Shi et al, 2018). Due to the strong nonlinearity and discontinuity of contact problems, the contact solution algorithm based on discretization methods is still challenging.…”

Section: Introductionmentioning

confidence: 99%

Investigation on model order reduction methods for flexible bodies with contact-impact based on partition modeling

Wang

Liu

2022

Journal of Vibration and Control

Self Cite

View full text Add to dashboard Cite

The finite element method is widely used to solve the problem of flexible bodies with contact-impact. To express the high-frequency and high-transient characteristics of the impact process and the high stress distribution of the local contact region, the amount of the node coordinates will be very large, which brings great burden to the dynamic simulation. It is particularly important to reduce the degrees of freedom of the system in the contact-impact problem. However, as the impact itself is a strong nonlinear problem, the linear model reduction techniques cannot be used directly. The partition method is presented to solve this problem, in which the deformation of the contact region is described by finite element node coordinates to preserve the local nonlinear characteristic while the deformation of the non-contact region is described by the reduced elastic coordinates. Different model reduction techniques including modal truncation method and Krylov subspace method are used to reduce the degrees of freedom of the non-contact region of an experimental rod-plate impact case, and the results are compared with that of the finite element method and the experiment. The simulation results show that the partition method can effectively reduce the degrees of freedom of the system and maintain good accuracy. Moreover, the Krylov subspace method has an advantage over the modal method in the model reduction of contact-impact problem.

show abstract

Dynamic contact model of shell for multibody system applications

Cited by 15 publications

References 36 publications

Nonlinear dynamic formulation for flexible origami-based deployable structures considering self-contact and friction

Nonlinear dynamic formulation for flexible origami-based deployable structures considering self-contact and friction

Rigid–flexible–thermal coupling dynamics of a hub and multiplate system considering frictional contact

Investigation on model order reduction methods for flexible bodies with contact-impact based on partition modeling

Contact Info

Product

Resources

About