Dynamic Analysis of Rectangular Plate Stiffened by Any Number of Beams with Different Lengths and Orientations

Abstract

The present work is concerned with dynamic characteristics of beam-stiffened rectangular plate by an improved Fourier series method (IFSM), including mobility characteristics, structural intensity, and transient response. The artificial coupling spring technology is introduced to establish the clamped or elastic connections at the interface between the plate and beams. According to IFSM, the displacement field of the plate and the stiffening beams are expressed as a combination of the Fourier cosine series and its auxiliary functions. Then, the Rayleigh–Ritz method is applied to solve the unknown Fourier coefficients, which determines the dynamic characteristics of the coupled structure. The Newmark method is adopted to obtain the transient response of the coupled structure, where the Rayleigh damping is taken into consideration. The rapid convergence of the current method is shown, and good agreement between the predicted results and FEM results is also revealed. On this basis, the effects of the factors related to the stiffening beam (including the length, orientations, and arrangement spacing of beams) and elastic parameters, as well as damping coefficients on the dynamic characteristics of the stiffened plate are investigated.

Structural Resistance of Simplified Side Hull Models Accounting for Stiffener Design and Loading Type

“…Quantification of the structural results in this work provides a set of reference data that build on pioneering works on plated structures, which predominantly applied shell elements. ese works have varied, e.g., nonlinear buckling [47], compressive strength [48,49], and plate-beam combination [50]. Salomon [51] studied similar subjects to those presented in this work and introduced an analytical theory describing different deflection phenomena on the shell model and 3D model (solid).…”

Numerical simulation of three degrees of freedom ball joint crossed spherical gear for a robotic arm prosthesis

“…A continuación, la Eq2, es la ecuación diferencial linealizada que gobierna el comportamiento del análisis modal y transitorio [27]- [30].…”

Design and validation through finite elements of a crusher for the plastic industry

“…Finalmente, en el análisis transitorio, también es un análisis dinámico, en este análisis calculamos la respuesta de las estructuras a las fuerzas concentradas en los nodos, las cargas de presión en los elementos y cargas que varían en el tiempo, como respuesta obtendremos las deformaciones totales, los esfuerzos, siendo estos valores importantes para tener en consideración. Además, el análisis transitorio utiliza la ecuación diferencial linealizada nos proporciona el comportamiento dinámica completa Eq.3 [22], [23].…”