Free Vibrations of Beam System Structures with Elastic Boundary Conditions and an Internal Elastic Hinge

Figure 11

Variation of first three natural frequency coefficients with location of the elastic hinge, 𝑙₁=𝑙₂+𝑙₃=𝑙, 𝑙₂/𝑙∈(0,1), 𝑣_𝐸𝐼(2)=𝑣_𝐸𝐼(3)=𝑣_𝜌𝐴(2)=𝑣_𝜌𝐴(3)=1, 𝑅_𝑧=50, 𝑇_𝑤=100, 𝑇_𝑢=100, and 𝑅_𝑚=20.