Add to ORKGThe purpose of this paper is to extend classical modal analysis to decouple any viscously damped linear system in oscillatory free vibration. Based upon an exposition of how viscous damping causes phase drifts in the components of a linear system, the concept of non-classically damped modes of vibration is introduced. These damped modes are real and physically excitable. By synchronizing the phase angles in each damped mode, a time-varying transformation is constructed to decouple damped oscillatory free vibration. The decoupling procedure devised herein reduces to classical modal analysis for systems that are undamped or classically damped. This paper constitutes the first part of a solution to the "classical decoupling problem" of linear ...
The paper presents the theoretical basis for modal analysis of a general nonconservative system. The...
This review, like its 1987 predecessor, addresses response of a discrete, time-invariant, linear, mu...
In this paper the generalization of the classical mode orthogonality and normalization relationships...
The purpose of this paper is to extend classical modal analysis to decouple any viscously damped lin...
The purpose of this paper is to extend classical modal analysis to decouple any viscously damped lin...
It has long been recognized that coordinate coupling in damped linear systems is a considerable barr...
AbstractIt has long been recognized that coordinate coupling in damped linear systems is a considera...
Decoupling a second-order linear dynamical system requires that one develop a transformation that si...
It is well known that the free motion of a single-degree-of-freedom damped linear dynamical system c...
A common approximation in the analysis of non-classically damped systems is to ignore the off-diagon...
It was demonstrated in two earlier papers that there exists a real, linear, time-varying transformat...
The principal coordinates of a non-classically damped linear system are coupled by non-zero off-diag...
The analysis of nongyroscopic damped (viscous) linear dynamic systems is presented. Discrete system...
[[abstract]]The presence of non-classical dissipation in a general discrete dynamic system is invest...
A general review of normal mode theory as applied to the vibration of linear damped lumped parameter...
The paper presents the theoretical basis for modal analysis of a general nonconservative system. The...
This review, like its 1987 predecessor, addresses response of a discrete, time-invariant, linear, mu...
In this paper the generalization of the classical mode orthogonality and normalization relationships...
The purpose of this paper is to extend classical modal analysis to decouple any viscously damped lin...
The purpose of this paper is to extend classical modal analysis to decouple any viscously damped lin...
It has long been recognized that coordinate coupling in damped linear systems is a considerable barr...
AbstractIt has long been recognized that coordinate coupling in damped linear systems is a considera...
Decoupling a second-order linear dynamical system requires that one develop a transformation that si...
It is well known that the free motion of a single-degree-of-freedom damped linear dynamical system c...
A common approximation in the analysis of non-classically damped systems is to ignore the off-diagon...
It was demonstrated in two earlier papers that there exists a real, linear, time-varying transformat...
The principal coordinates of a non-classically damped linear system are coupled by non-zero off-diag...
The analysis of nongyroscopic damped (viscous) linear dynamic systems is presented. Discrete system...
[[abstract]]The presence of non-classical dissipation in a general discrete dynamic system is invest...
A general review of normal mode theory as applied to the vibration of linear damped lumped parameter...
The paper presents the theoretical basis for modal analysis of a general nonconservative system. The...
This review, like its 1987 predecessor, addresses response of a discrete, time-invariant, linear, mu...
In this paper the generalization of the classical mode orthogonality and normalization relationships...