Dynamical analysis of sliding connections with mesh independent roughness by a total Lagrangian FEM


  • Tiago Morkis Siqueira Department of Civil Engineering, Universidade Federal de Santa Catarina, Rua João Pio Duarte Silva, 205, 88037-000, Florianópolis, SC, Brazil https://orcid.org/0000-0002-9727-3130
  • Edwin Alexander Morantes Rodríguez Structural Engineering Consulting Services, Parmo Ingenieros Inc., Carrera 11 41-05, 680006., Bucaramanga, Santander, Colombia https://orcid.org/0000-0001-8922-3347
  • Humberto Breves Coda Structural Engineering Department, Escola de Engenharia de São Carlos, Universidade de São Paulo, Av. Trabalhador São Carlense, 400, 13560-590, São Carlos, SP, Brazil https://orcid.org/0000-0002-7516-3766




Sliding connections are present in several applications on the mechanics, civil and aerospace industries. A framework consisting on an accurate and stable formulation to describe the dynamics of flexible systems with sliding connections is developed. The total Lagrangian positional approach of the Finite Element Method is employed using 2D solid and frame elements to discretize bodies and connections. This allows a wide range of applications, particularly the local modelling of joints. The proposed formulation includes roughness along sliding paths independent from the finite element geometry discretization. Following variational principles, Lagrange multipliers are used to impose sliding constraints on the equations of motion. A direct time integration is performed by the generalized-α method and its stability in the present finite deformation context is evaluated. The resulting nonlinear equations are solved by the Newton-Raphson method. Examples are presented where the proposed framework is evaluated regarding its dynamical behavior and to solve practical scenarios for which sliding modelling is a necessity.