Hi. First of all, I am not a student majoring in Mechanical Engineering. So please understand my ignorant.

I am simulating of radial spring with overhanging(?) beam like the first image.

For simulation, I used the equation below.

Factor N = (4 * E * δ * w * t^3 * 10^9) / (g * m * L^3)

Material = Ti-6Al-4V,

E (GPA) = 121 GPa: E

Length (mm) = 33.00: L

Thickness (mm) = 0.4 : t

Deflection (mm) = 1.0 mm: d

Total deflection δ = deflection d + thickness t = 1.4

Preload = (factor) x (weight of element)

mass of the lens g is 202.21 (g)

width of spring w is 9.0 (mm)

In my case, Factor N is 6.0, total force of center is 11.91N.

But like the second, third picture, Deflection of center is 1.33~1.34 mm.

So I modeled many cases like the fourth picture, also a triangle, trapezoid. But the result is not correct or failed to simulate because of large displacement.

Please help me to model the finest result. I really stuck at this simple simulation...

Thank you for reading this.

Sounds interesting, can you please post some details here? Any similar or reference, it's better for people to understand.