Concept Modelling of Vehicle Joints and Beam-Like Structures through Dynamic FE-Based Methods

Table 1

Nomenclature for the [𝑆₁] matrix.

𝐴tot is the total area of the thin-walled cross-section	Ω is the area encompassed by the middle perimeter line
𝑥^(𝑖) and 𝑦^(𝑖) are the position coordinates of the ith node	𝑏^(𝑖) is the thickness average value relating to the ith node
𝑆𝑥^∗(𝑖) and 𝑆𝑦^∗(𝑖) are the cross-section static moments about x- and y-axes for ith node	𝐼𝑥 and 𝐼𝑦 are the cross-section moments of inertia about x- and y-axes
p is a factor equal to 1 on the upper horizontal wall, −1 on the lower, 0.5 on the nodes at intersections, and 0 on the vertical walls.	q is a factor equal to 1 on the right vertical wall, −1 on the left, 0.5 on the nodes at intersections, and 0 on the horizontal walls.