Add to ORKGThe infinitesimal free longitudinal or torsional vibrations of a thin straight rod, and the infinitesimal free transverse vibrations of a taut string are all governed by a Sturm-Liouville differential equation, their discrete approximations by a second-order difference scheme. Two simple procedures are presented for constructing the mass and stiffness parameters of the discrete model from a knowledge of two frequency spectra. One method is based on the orthogonality of the natural modes, the other on a stripping procedure. 1
Strings are amongst the most common elements found in musical instruments and an appropriate physica...
A number of theoretical models are known for describing longitudinal vibrations of a rod. The simpl...
Free vibration of a thin rectangular plate stiffened by an arbitrary number of stiffeners parallel t...
The free undamped vibrations of rods, horns and taut strings are governed by second-order differenti...
The natural frequencies determined by using finite element or finite difference models of order n ar...
Closed-form dynamic stiffness (DS) formulations coupled with an efficient eigen-solution technique a...
AbstractIn this paper, we shall suggest and study a conservative discrete model for the linear vibra...
Construction of an accurate continuous model for discrete media is an important topic in various fie...
The purpose of the present paper is the development of a physically discrete model for free transver...
Vibration properties of thin cylindrical shells on an elastic foundation coupled with multiple discr...
We consider one-dimensional longitudinal vibrations of a rigid rod with a nonuniform cross-section, ...
In this study a new approach to the problem of transverse vibrations of an ideal string is presented...
We present the complete version including proofs of the results announced in [1]. Namely, for the pr...
The calculation of thin-walled rods is extremely relevant problem of structural mechanics and not on...
This paper presents the results of studies on the analytical dependence between the value of a longi...
Strings are amongst the most common elements found in musical instruments and an appropriate physica...
A number of theoretical models are known for describing longitudinal vibrations of a rod. The simpl...
Free vibration of a thin rectangular plate stiffened by an arbitrary number of stiffeners parallel t...
The free undamped vibrations of rods, horns and taut strings are governed by second-order differenti...
The natural frequencies determined by using finite element or finite difference models of order n ar...
Closed-form dynamic stiffness (DS) formulations coupled with an efficient eigen-solution technique a...
AbstractIn this paper, we shall suggest and study a conservative discrete model for the linear vibra...
Construction of an accurate continuous model for discrete media is an important topic in various fie...
The purpose of the present paper is the development of a physically discrete model for free transver...
Vibration properties of thin cylindrical shells on an elastic foundation coupled with multiple discr...
We consider one-dimensional longitudinal vibrations of a rigid rod with a nonuniform cross-section, ...
In this study a new approach to the problem of transverse vibrations of an ideal string is presented...
We present the complete version including proofs of the results announced in [1]. Namely, for the pr...
The calculation of thin-walled rods is extremely relevant problem of structural mechanics and not on...
This paper presents the results of studies on the analytical dependence between the value of a longi...
Strings are amongst the most common elements found in musical instruments and an appropriate physica...
A number of theoretical models are known for describing longitudinal vibrations of a rod. The simpl...
Free vibration of a thin rectangular plate stiffened by an arbitrary number of stiffeners parallel t...