The asymptotic development method is used to obtain approximate analytical expressions
for the natural frequencies of non-uniform cables and beams. By manipulating the first-order …

The frequency response curves of a non-uniform beam undergoing nonlinear oscillations
are determined analytically by the multiple time scale method, which provides approximate …

A new method for the concise and efficient solution of the free and forced vibration of a class
of complex linear structures is proposed. The structures, having discontinuous properties …

In this study, the dynamic behaviour of beams with variable cross-sections subjected to time-
dependent loads is analyzed using the Complementary Functions Method (CFM). The …

A new numerical method is presented for evaluating the buckling loads of columns with
varying cross sections. By this method, the traditional eigenvalue problem is transformed …

Recent investigations of a strut-braced wing (SBW) aircraft show that, at high positive load
factors, a large tensile force in the strut leads to a considerable compressive axial force in …

In this paper, the exact dynamic stiffness matrix is derived for the transverse vibration of
beams whose cross‐sectional area and moment of inertia vary in accordance to any two …

In this paper, the problem for evaluating the eigenvalues in the buckling problem and the
natural vibration problem of the bending bar is reduced to finding zeros of a function, which …

Three numerical solution techniques for nonlinear eardrum-type oscillations with an even
function in the restoring force are studied. The first suggested technique is named the target …

Bu çalışmada, değişken kesitli kirişlerin serbest titreşimleri incelenmiştir. Değişken kesitli
çubukları idare eden denklemler Timoshenko çubuk teorisi kullanarak elde edilmiştir …