this work deals with effects of asymmetric stiffness on the dynamic behaviour of the rotor system. the analysis is presented through an extended lagrangian hamiltonian mechanics on the asymmetric rotor system, where symmetries are broken in terms of the rotor stiffness. the complete dynamics of asymmetries of rotor system is investigated with a case study. in this work, a mathematical model is ...

This work deals with effects of asymmetric stiffness on the dynamic behaviour of the rotor system. The analysis is presented through an extended Lagrangian Hamiltonian mechanics on the asymmetric rotor system, where symmetries are broken in terms of the rotor stiffness. The complete dynamics of asymmetries of rotor system is investigated with a case study. In this work, a mathematical model is ...

in this paper, evaluation of torsional stiffness in beam and slab bridge deck elements is presented. a beam and slab bridge decks structurally behave as a grillage. a grillage has an efficient transverse load distribution due to transverse asymmetric load. in the case of bridge deck without transverse beams in the span, transverse load distribution depends on the torsional stiffness of longitud...

In this paper, torsional behavior of asymmetric structures with fixed base and isolated base has been compared. Studied Structures are three-dimensional, three and eight story steel structures whose nonlinear time history analysis was conducted based on the records of El Centro earthquake (1940), Tabas earthquake (1978), and Bam earthquake (2003). Analysis results show the efficiency of seismic...

Linear, friction-induced vibration and aeroelastic flutter problems are governed by second-order differential equations of motion in which the stiffness matrix and often damping matrix are asymmetric. Asymmetric systems are prone to unstable vibration (flutter) as a parameter reaches a critical value, when the real part of a pair of complex poles crosses the vertical imaginary axis of the s-pla...

Concentrically braced frames (CBFs) are one of the efficient lateral load resisting systems in high seismicity regions. One of the common problems with the use of concentrically braced frames is limitation in the architectural application and position of the openings. Two-story X braced frames have more advantages than other configurations of concentrically braced frames, since in many cases th...

This paper deals with a class of parallel mechanisms, called Gough-Stewart platforms. For these mechanisms, pre-loaded by driving forces, the stiffness matrix is derived and its basic properties are established. It is shown when the stiffness matrix becomes asymmetric, how the parametric imbalance may influence the system stability, and how the center of stiffness depends on the force pre-loadi...

An incremental Contour Method (iCM) of residual stress measurement is proposed where stresses in the body interest are sequentially reduced by successive contour cuts and risk re-distribution plasticity mitigated or eliminated. The cutting-induced known to cause significant inaccuracies when trying measure near-yield using a conventional single cut method. iCM procedure implements new displacem...

In this paper, methods of differential geometry and properties of Lie groups are used to show that in any conservative system subjected to a non zero external load, if one examines motions in SE(3), the special Euclidean group of rigid body motions in three dimensions, the resulting 6 ́6 stiffness matrix is asymmetric in any inertial (fixed) or body-fixed reference frame. We prove that in any su...

The prenatal development of the human brain is characterized by a rapid increase in brain volume and a development of a highly folded cortex. At the cellular level, these events are enabled by symmetric and asymmetric cell division in the ventricular regions of the brain followed by an outwards cell migration towards the peripheral regions. The role of mechanics during brain development has bee...