Numerical Model of Three-Dimensional Motion of Plate-Type Wind-Borne Debris Based on Quaternions and its Improvement in Unsteady Flow

Fu, An Min; Huang, Peng; Gu, Ming

doi:10.4028/www.scientific.net/amm.405-408.2399

Cited by 7 publications

(3 citation statements)

References 9 publications

(26 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Extensive research describes this rotation using Euler angles (φ, θ, ψ). However, singularities arise when the parameters of the Euler angles are utilized in numerical integration, and this can lead to gimbal lock and reduced computational efficiency, as explained in [25,[31][32][33][34]. Fu et al [31] proposed a rotational quaternions method to transform the debris orientation from a global inertial reference frame to a body-fixed reference frame, as follows:…”

Section: Debris Flight Trajectory Model Establishmentmentioning

confidence: 99%

Predicting Trajectories of Plate-Type Wind-Borne Debris in Turbulent Wind Flow with Uncertainties

Wang,

Huang,

Zhao

et al. 2023

Infrastructures

Self Cite

View full text Add to dashboard Cite

Debris poses multifaceted risks and jeopardizes various aspects of the environment, human health, safety, and infrastructure. The debris trajectory in turbulent wind flow is more dispersed due to the inherent randomness of the turbulent winds. This paper investigates the three-dimensional trajectories of plate-type wind-borne debris in turbulent wind fields via the method of numerical simulation. A 3D probabilistic trajectory model of plate-type wind-borne debris is developed. The debris trajectories are numerically calculated by solving the governing equation of debris motion and by introducing turbulent wind flows based on the near-ground wind field measured in the wind tunnel to account for the probability characteristics of the debris trajectory. The dimensionless velocities and displacements of the debris trajectory show good agreement with the experimental data in wind tunnel tests, confirming the rationality of the probabilistic trajectory model. Based on the validated trajectory model, the probability characteristics of the debris impact position, impact velocity, and kinetic energy, debris angular displacement, and angular velocity are analyzed in detail under five different wind attack angles. The proposed probabilistic model of plate-type debris in turbulent wind flow provides an accurate and effective method for predicting debris trajectory in three-dimensional space.

show abstract

Section: Debris Flight Trajectory Model Establishmentmentioning

confidence: 99%

Predicting Trajectories of Plate-Type Wind-Borne Debris in Turbulent Wind Flow with Uncertainties

Wang,

Huang,

Zhao

et al. 2023

Infrastructures

Self Cite

View full text Add to dashboard Cite

show abstract

“…Utilizing coefficient of average drag in flight period, Holmes calculate the trajectory of compact debris and study the influence on vertical air resistance and small range turbulence, and also calculate the trajectory of rectangle board-like debris with the usage of quasi-stable state assumption and the coefficient of drag, lift, and pitch moment regarded as the function about striking angle of incidence [22]. Baker propose dimensionless numerical solution of the trajectory of debris in compact, plate-like and rod-like respectively, and Fu A. generalized the aerodynamic equation of the plate-like debris to three dimension space, proposing the six degrees of freedom model for plate-like debris in three dimensional space based on Euler equation and utilizing quartarnion to describe the rotation of flying plate-like debris to solve the problem of locking rotation angle matrix in Euler equation [23,24].…”

Section: Wind-borne Debrismentioning

confidence: 99%

Typhoon Damage Analysis of Typical Vulnerable Structures

Lin¹

2022

HSET

View full text Add to dashboard Cite

Typhoon, as one of the most devastating natural hazards, has brought billions of property losses and threaten the safety of people around the world, and meanwhile, damage and collapse of various urban structures are the main components of direct losses caused by typhoon. Therefore, the review focus on the introduction on the impact and poster researches about three kinds of typhoon action, external wind pressure, internal wind pressure and wind-borne debris, on the structures at first, and then summarize the failure modes for three kinds of vulnerable structures, including bungalows, light steel industrial buildings and advertisement boards, respectively. Based on the data and field investigations on several severe or super typhoon, the failure modes of those structure start with the places where the elements are lack of potent connection and integrality, such as enclosure members, or the place where the stress concentration appears. This paper is looking forward to giving a assisting the engineers and scientists to improve the typhoon resistance measure or regulate the design of structures to prevent or alleviate the property loss and life security in typhoon in the field of structural analysis. This paper gives the summary on failure mechanism of vulnerable structures, and recommend the reinforcement trend on this field of structures.

show abstract

“…The quaternions are four scalars, q1, q2, q3 and q4, determined from the Euler angles.These quaternions will also determine the matrix Rq(q) that can change a vector from the global to the local reference axis formulation. The expression of Rq(q) is detailed by MinFu et al (2013).The motion and rotation of the plate are mainly a function of the aerodynamic forces acting on it. At each query point Pq, the flow field has a velocity V= [Uq; Vq; Wq] in the global reference axis and the plate itself has a velocity u=[u; v; w] in the same global reference axis.…”

mentioning

confidence: 99%

Dynamic Moment Model for Numerical Simulation of a 6-DOF Plate Trajectory around an Aircraft

2019

View full text Add to dashboard Cite

Ice shedding represents a threat to aircraft safety since ice blocks can strike rear components or can be ingested by engines. The accuracy of current numerical methods for predicting ice block paths in the design phase of an aircraft still need improvement. For the verification and validation of new trajectory calculation methods, shed blocks can be modelled for simplification as sphere or 6 Degree-Of-Freedom (6 DOF) plates. The objective of this paper is to propose a mathematical model for the dynamic moments of the plates and to use it to numerically simulate ice block paths. The results will be useful for verifying high-fidelity methods. Equations of motion in a Lagrangian frame are presented together with the correlations to be used for the aerodynamic coefficients of the ice blocks. The plate model involves the quaternions and a dynamic moment coefficient function of the angular velocity. After the model is validated with test cases obtained from the literature, the trajectories around the blended wing body will be plotted. The sensitivity of the trajectories and footprints to the chosen dynamic moment model will be highlighted.

show abstract

Numerical Model of Three-Dimensional Motion of Plate-Type Wind-Borne Debris Based on Quaternions and its Improvement in Unsteady Flow

Cited by 7 publications

References 9 publications

Predicting Trajectories of Plate-Type Wind-Borne Debris in Turbulent Wind Flow with Uncertainties

Predicting Trajectories of Plate-Type Wind-Borne Debris in Turbulent Wind Flow with Uncertainties

Typhoon Damage Analysis of Typical Vulnerable Structures

Dynamic Moment Model for Numerical Simulation of a 6-DOF Plate Trajectory around an Aircraft

Contact Info

Product

Resources

About