The application of a new finite strip to the free vibration of rectangular plates of varying complexity

Comparison of Natural Frequencies of Laminates by 3-D Theory, Part I: Rectangular Plates

“…Geannakakes [20], and Cheung and Kong [29]. Secondly, in considering varying length to thickness ratios, the frequencies of the present S square plates also compare well with those of Chen and Yang [26] and Mizusawa [27].…”

Analysis of Laminated Rubber Bearings with a Numerical Reduction Model Method

“…This method consist in discretizing only the transverse section of a prismatic solid and choosing continuous, regular shape functions to deal with the longitudinal direction. The finite-strip method has been applied in many fields [4][5][6]25]. To our knowledge, this method has not been used for laminated elastomeric structures or in the context of nearly incompressible hyperelastic materials.…”

A model reduction technique for laminated solids of revolution with a curved cross-section

“…6 The term "generalized" is often used in literature to distinguish hyperelastic models formulated in terms of modified strain invariants. 7 The following notation is used in Eq. 15: δF(v) = ∇δv.…”

“…The finite-strip or finite-layer methods, originally proposed by Cheung [8], are based on this semi-analytical approach with a series expansion in terms of a polynomial basis, for instance spline functions. This method can be applied to many different physical problems including physical-coupling such as piezoelectricity, see [5][6][7]20] and references therein. When the material invariance appears in the circumferential direction for axisymmetric structures, Fourier series can be used, leading to the formulation of pseudo-axisymmetric or harmonic elements (see [21] for a short description of these methods in the linear case).…”