Finite element model for partial differential equations in optimization of vehicle safety collision problem

Article type: Research Article

Authors: Zhang, Min^{; *}

Affiliations: School of Mathematics and Information Science, Zhengzhou Shengda University, Xinzheng, China

Correspondence: [*] Corresponding author. Min Zhang, General Education Center, Zhengzhou Business University, Gongyi 451200, China. E-mail: zhangmin_vip@outlook.com.

Abstract: Vehicle safety on roadsides is vital for preventing collisions, controlling failures and accidents, and ensuring driver and passenger wellness. Finite Element Analysis (FEA) in vehicle safety relies on the vehicle’s physical attributes for predicting and preventing collisions. This article introduces a Differential FEA (DFEA) model for predicting vehicle collisions regardless of the speed and direction for driver/ passenger safety. The proposed model induces a vehicle’s speed, direction, and displacement from two perspectives: self and approaching vehicle. The collision probability with the trailing or persuading vehicle is calculated by distinguishing the forward and rear features. The differential calculus for the point of deviation and distance metrics are significantly estimated for a vehicle’s front and rear ends. Such calculus generates a maximum and minimum possibility for self and approaching vehicle contact. This contact is further split based on the collision threshold; the threshold is determined using the safe distance between two vehicles for collision-less driving. The threshold exceeding vehicles are alerted for their change in direction/ speed through contact point (rear/front) differential derivatives. This ensures collision detection under fewer contact errors, leveraging the safety of the duo vehicles.

Keywords: Collision, contact threshold, differential equation, finite element analysis, vehicle safety

DOI: 10.3233/JIFS-233628

Journal: Journal of Intelligent & Fuzzy Systems, vol. 46, no. 4, pp. 10019-10034, 2024