A simplified method to investigate the stability of cantilever rod equilibrium forms

2015 ◽  
Vol 67 ◽  
pp. 13-17 ◽  
Author(s):  
Milan Batista
Author(s):  
V. P. Radin ◽  
V. P. Chirkov ◽  
A. V. Shchugorev ◽  
V. N. Shchugorev

The paper studies the stability of the rectilinear form of equilibrium with the construction of the boundaries of the stability region for a rod with uniformly distributed mass. The stability of the cantilever rod is considered for the off-center application of potential and tracking forces. In case of non-conservative loads, when it is possible to lose the stability of the equilibrium position, a dynamic method of research is used. it is shown that the influence of the eccentric application of loads does not affect the location of the flutter boundary, but in contrast to the classical problem, the rod oscillations do not occur in the vicinity of the rectilinear form of equilibrium, but in the vicinity of the curved shape determined by the eccentricity value.


1981 ◽  
Vol 18 (01) ◽  
pp. 1-9
Author(s):  
Richard B. Meyer ◽  
Kevin V. Feeney

This paper presents a simplified method for the preparation of stability information for offshore supply vessels. The paper reviews the current methods used by the Eighth Coast Guard District Merchant Marine Technical Office for preparation of stability information and compares these with the proposed "simplified" method. The simplified stability letter incorporates a loading diagram which will make it easier for the vessel operator to use. The recommended letter will allow designers to obtain a higher maximum amount of deck cargo, provide more flexibility in the manner in which cargoes are carried, allow operators to exchange consumables for additional below-deck cargo, and simplify the calculations necessary for preparation of the stability information. It should be cautioned that the method presented is only the opinion of the authors. Approval should be obtained from the cognizant Coast Guard technical office before employing this or any other proposed method. It should also be noted that the stability criteria presented in Appendix I are not yet included in regulations and are subject to change.


Author(s):  
Vitaly Kozhushko ◽  
Sergey Krasnov

The aim of the proposed work is to develop a simplified version of determining the depth of plugging a pile with one layer of struts or anchors. When setting the problem, the scheme by E.K. Jacobi was offered, which suggests, that the deepening of the wall should be such as to ensure the stability of the wall against soil protrusion. Methodologically, the problem is solved analytically. The calculations take into account the active and passive soil pressures, the intensity and shape of whose plots is determined using Coulomb's theory. Comparative results of the depth of pile plugging obtained by the simplified method and the method currently used in the calculations of single pile fences with one layer of fasteners are presented. It is shown that the depth of pile plugging and groove calculation made in a simplified way does not practically differ from the depth of wall immersion calculated by the existing method.


1980 ◽  
Vol 17 (01) ◽  
pp. 29-34
Author(s):  
John F. McGowan ◽  
Richard B. Meyer

The authors present a simplified method of stability analysis applicable to tugboats which must be reviewed by the U. S. Coast Guard for load line assignment. The paper includes a brief review of tugboat stability leading up to the present criteria applied by the Coast Guard. The present criteria are included. The proposed method consists of two or three conditions which, upon satisfactory analysis, provide considerable leeway to the tugboat captain in the manner in which he operates his vessel. The method of analysis and necessary definitions and interpretations are presented. The authors have made note of especially troublesome areas of design and some good design practices which will improve the stability of tugboats.


2006 ◽  
Vol 129 (4) ◽  
pp. 724-729 ◽  
Author(s):  
Albert F. Storace

A modal stability (MS) method is presented for the quick and accurate prediction of the stability of aerodynamically excited turbomachinery using real eigenvalue/eigenvector data obtained from a rotordynamics model. The modal stability method provides a means to compare the work of stabilizing damping forces to the work of destabilizing aerodynamic cross-coupled stiffness forces to predict the onset of whirl instability. The MS method thus indicates that unstable or self-excited whirling (sometimes called whipping) at one of the system’s natural frequencies is initiated when the destabilizing work equals or exceeds the stabilizing work. This approach provides a powerful design tool to quickly ascertain the effects of squeeze-film dampers, and turbine engine architecture, including bearing locations and bearing support structure stiffness, on system stability.


2021 ◽  
Vol 1 (1) ◽  
pp. 52-58
Author(s):  
Norfarah Nadia Ismail ◽  
Ahmad Bukhari Ramli ◽  
Siti Noorliyana Mohd Pami

Currently, the construction of slope is increasing, thus, the risk of slope to fail also increase. The series of landslide happen to the man-made slope has been recorded since in the early of 1993 until now. Many efforts such as treating the critical slope, redesigned the failed slope, and analyze the stability of the slope have been done. However, the landslide is still happening in Malaysia. The factor of safety (FOS) from the stability analysis that has been used might not be adequate to determine the safety of the slope in Malaysia. Therefore, in this study, the optimum factor of safety is obtained by using three methods of slice, Bishop’s Simplified method, Spencer method, and Morgenstern-Price method which have been used in many projects. A study place is selected in Ladang Balau, Semenyih, in Selangor and from the CIU test, the important soil parameter for slope is extracted for analysis of slope stability using SLOPE/W and manual calculation. The lambda for Spencer method and Morgenstern-Price method was generated for further discussion on the relationship between lambda and factor of safety. The data generated from both calculation method, from manual and software, were discussed and next the ideal method to achieve the optimum factor of safety determined. The factor of safety for every method basically are influenced by the interslice shear force presence but not Bishop’s Simplified method as moment equilibrium is insensitive towards interslice force function. For lambda, the factor that influenced the value is the function used; constant and half-sine function, however, for Bishop’s Simplified method, the lambda is equal to zero as the method ignored the interslice shear force. The Morgenstern-Price method has been chosen to be the best method to generate a good factor of safety.


Author(s):  
V. V. Konyushkov ◽  

The article purposes some ways of simplifying the analytical method for calculating slope stability. The simplified method is based on the well-known classical solution for calculating the stability of slopes with a round-cylindrical slickensided surface. The proposed method does not require significant labor costs in time and allows taking into account various external loads and their combinations on the slope. There have been performed multivariate comparative calculations of slope stability in the Plaxis program and using a simplified analytical method. In the design schemes, there were considered dispersed soils such as sands, sandy loams, loams and clays with different properties and the most common slope angles used in construction practice. The performed analysis of calculations has shown a good convergence of the numerical modeling results with the results of analytical calculations. This method is recommended for preliminary express calculations or for additional alternative verification of slope stability.


1982 ◽  
Vol 99 ◽  
pp. 605-613
Author(s):  
P. S. Conti

Conti: One of the main conclusions of the Wolf-Rayet symposium in Buenos Aires was that Wolf-Rayet stars are evolutionary products of massive objects. Some questions:–Do hot helium-rich stars, that are not Wolf-Rayet stars, exist?–What about the stability of helium rich stars of large mass? We know a helium rich star of ∼40 MO. Has the stability something to do with the wind?–Ring nebulae and bubbles : this seems to be a much more common phenomenon than we thought of some years age.–What is the origin of the subtypes? This is important to find a possible matching of scenarios to subtypes.


1999 ◽  
Vol 173 ◽  
pp. 309-314 ◽  
Author(s):  
T. Fukushima

AbstractBy using the stability condition and general formulas developed by Fukushima (1998 = Paper I) we discovered that, just as in the case of the explicit symmetric multistep methods (Quinlan and Tremaine, 1990), when integrating orbital motions of celestial bodies, the implicit symmetric multistep methods used in the predictor-corrector manner lead to integration errors in position which grow linearly with the integration time if the stepsizes adopted are sufficiently small and if the number of corrections is sufficiently large, say two or three. We confirmed also that the symmetric methods (explicit or implicit) would produce the stepsize-dependent instabilities/resonances, which was discovered by A. Toomre in 1991 and confirmed by G.D. Quinlan for some high order explicit methods. Although the implicit methods require twice or more computational time for the same stepsize than the explicit symmetric ones do, they seem to be preferable since they reduce these undesirable features significantly.


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