Perturbation of eigenvalues in thermoelasticity and vibration of systems with concentrated masses

1984 ◽  
pp. 346-368 ◽  
Author(s):  
E. Sanchez-Palencia
Keyword(s):  
Concentrated Masses

The Anchor-Last Deployment Problem for Inextensible Mooring Lines

1975 ◽  
Vol 97 (3) ◽  
pp. 1046-1052 ◽  
Author(s):  
Robert C. Rupe ◽  
Robert W. Thresher
Keyword(s):  
Numerical Model ◽  
Equations Of Motion ◽  
Simultaneous Equations ◽  
Mooring Line ◽  
Integration Scheme ◽  
Lumped Mass ◽  
Mooring Lines ◽  
Concentrated Masses ◽  
Predictor Corrector ◽  
Lagrange’S Method

A lumped mass numerical model was developed which predicts the dynamic response of an inextensible mooring line during anchor-last deployment. The mooring line was modeled as a series of concentrated masses connected by massless inextensible links. A set of angles was used for displacement coordinates, and Lagrange’s Method was used to derive the equations of motion. The resulting formulation exhibited inertia coupling, which, for the predictor-corrector integration scheme used, required the solution of a set of linear simultaneous equations to determine the acceleration of each lumped mass. For the selected cases studied the results show that the maximum tension in the cable during deployment will not exceed twice the weight of the cable and anchor in water.

On new types of vibrations of thick cascade junctions with concentrated masses

2013 ◽  
Vol 87 (1) ◽  
pp. 102-106 ◽  
Author(s):  
T. A. Mel’nik ◽  
G. A. Chechkin
Keyword(s):  
Concentrated Masses

A New Mode of Shape Function Approach to Bending Vibrations of a Circular Dise with Concentrated Masses.

1991 ◽  
Vol 57 (537) ◽  
pp. 1440-1445
Author(s):  
Ken-ichi NAGAI ◽  
Yoshihiro OSASA ◽  
Kosuke NAGAYA ◽  
Sadahiko TAKEDA ◽  
Katsuya TANIFUJI
Keyword(s):  
Shape Function ◽  
Function Approach ◽  
Bending Vibrations ◽  
Concentrated Masses

CONTROL OF STEADY-STATE VIBRATIONS OF RECTANGULAR PLATES

2011 ◽  
Vol 11 (03) ◽  
pp. 535-562 ◽  
Author(s):  
K. A. ALSAIF ◽  
M. A. FODA
Keyword(s):  
Steady State ◽  
Function Method ◽  
Forced Vibrations ◽  
Rectangular Plates ◽  
Selected Lines ◽  
Numerical Examples ◽  
Nodal Lines ◽  
Free And Forced Vibrations ◽  
Concentrated Masses ◽  
The Given

The focus of the present research is to eliminate the undesired steady-state vibrations at selected lines or locations in a vibrating plate by means of adding attachments at arbitrary selected locations. These attachments can be either added concentrated masses and/or translational or rotational springs which are connected to the plate at one end and grounded at the other. The case of attachment of translational and/or rotational oscillators systems is examined. In addition, imposing lines of zero displacements (nodal lines) at selected locations are also investigated. The dynamic Green's function method is employed. Several numerical examples are cited to verify the utility of the proposed method. In addition, sample experiments to measure the plate free and forced vibrations for the given boundary conditions are conducted and the experimental measurements are compared with the analytical results.

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