Generalized solution for the static analysis of coupled shear walls: three-field CTB beam

• Mao Cristian Pinto-Cruz ^[1]
  1. [1] Pontifícia Universidade Católica do Rio de Janeiro

     Pontifícia Universidade Católica do Rio de Janeiro

     Brasil

     
• Localización: Mechanics based design of structures and machines, ISSN 1539-7734, Vol. 53, Nº. 11, 2025, págs. 7298-7328
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • To date, finding an analytical and numerical solution for the static analysis of coupled shear walls with uniform and/or variable properties, symmetric and/or asymmetric, subjected to lateral loads with an arbitrary profile remains a challenge. This paper proposes a generalized solution using a variational and Laplace transform approach. For this purpose, the coupled shear wall is mathematically idealized as a replacement beam of the three-field CTB beam type, resulting from the parallel coupling of an extensible Timoshenko beam and a shear beam. Unlike classical continuous models that allow the representation of the three classic types of behavior (global bending, global shear, and local bending), the continuous model used here allows the representation of the axial extensibility of the walls and a fourth type of mechanism associated with the deformation due to the local shear of the walls, significantly improving the accuracy of the continuous model. For coupled shear walls with uniform properties subjected to arbitrary lateral loads that can be expressed analytically, a closed-form analytical solution is obtained through a Laplace transform approach, producing a system of equations that correlate displacements and internal forces. However, coupled shear walls may have variable properties along their height, and not all lateral loads can be expressed analytically. Therefore, a numerical method based on the transfer matrix method is proposed. The transfer matrix derived from the analytical solution allows the direct use of the modified transfer matrix method, avoiding the need to compute the inverse of the transfer matrix zero, which is essential in the classical method but involves high computational costs. Numerical applications and parametric analyses demonstrate the accuracy, reliability, and reduced processing time of the continuous model and proposed solution method, making them suitable for practicing engineers in the preliminary analysis and final structural design of coupled shear walls.