Correction: Rigid Body Response of a Mach 2 Shock Train to Downstream Forcing

Author(s):  
Louis M. Edelman ◽  
Mirko Gamba
Keyword(s):  
2012 ◽  
Vol 55 (1) ◽  
pp. 25-39
Author(s):  
David Smallwood

As multiple axis vibration testing has become more widespread, it has become increasingly important to ensure the instrumentation is accurately portrayed in the instrumentation table. However, errors do occur. The method used in this paper to help uncover these errors is based on the condition that at low frequencies (below any resonant frequencies of the object being studied) the response is essentially rigid body. The spectral density matrix (SDM) at a low frequency, of many more than six response measurements, is decomposed using singular value decomposition (SVD). Under the assumption of rigid body response, it is assumed that the first six singular vectors are linear combinations of the six rigid body modes. The best linear fit is then calculated for this fit. The measurements are then removed one at a time, and the reduction in the fit error is calculated. It is assumed that if the removal of a measurement reduces the error significantly, that measurement is likely in error.


2017 ◽  
Author(s):  
Carolyn Judge ◽  
Bill Beaver ◽  
John Zseleczk

TRACT Vertical acceleration measurements are often used to evaluate the “rigid body” response of a planing hull to hydrodynamic forces in waves. Unfortunately accelerometers respond to both the rigid body hull motions of interest and to unwanted vibrations, which if not addressed, produce artificially higher peak acceleration values (Riley, et.al, 2010). In full scale hulls, vibrations from the propulsors are telegraphed through the hull structure to the accelerometer. In towing tank models vibrations from the carriage are transmitted by the tow post through the hull and to the accelerometer. Historically, different methods have been used to eliminate the unwanted acceleration components including engineering judgement, electronic low-pass filtering of analog signals and postprocessing of digital measurement records using computational filtering techniques. This paper documents a study of the effects of different towing methods on planing boat model accelerations. A four foot long planing hull was tested in calm water and in waves using three different towing methods: - Traditional heave post with model towed at constant velocity - Self-propelled model mounted on a lightweight free-in-surge sub-carriage - String tow bridal with spring as proposed by Savitsky 2016 Tests were conducted in regular waves which made it possible to overlay accelerations peaks from a large number of nearly identical hull slams and make direct comparisons of the magnitude and shape of acceleration peaks measured with each towing method. Details of the three towing methods and the pros/cons of each are presented. The string tow method produced significantly cleaner acceleration THE 30th AMERICAN TOWING TANK CONFERENCE WEST BETHESDA, MARYLAND, OCTOBER 2017 2 records. The plots presented make a strong case for this simple and unconventional towing method and may encourage other towing tank facilities to experiment with it in the future.


1982 ◽  
Vol 108 (8) ◽  
pp. 1806-1814
Author(s):  
Iradj G. Tadjbakhsh ◽  
Jonathan J. Ma

Author(s):  
Rostyslav Lesiv ◽  
Glen Prater ◽  
Gary Osborne ◽  
David Lamb ◽  
Matthew Castanier

Vehicle analysis models of every type have their basis in some type of physical representation of the design domain. Rather than describing three-dimensional continua of a collection of components as is done in detail-level CAD models, an architecture-level abstraction describes fundamental function and arrangement, while capturing just enough physical detail to be used as the basis for a meaningful representation of the design, and eventually, analyses that permit architecture assessment. The design information captured by the abstractions is available at the very earliest stages of the vehicle developing process, so the model itself can function as a “design space for ideas”. In this paper we describe a generalized process for analysis model extraction from vehicle architecture abstractions, and then apply that process to the specific case of rigid body response models. We also discuss implementation of a rigid body analysis engine that forms part of the analysis suite of a software package supporting all aspects of vehicle architecture design.


2002 ◽  
Vol 9 (3) ◽  
pp. 171-188 ◽  
Author(s):  
Jeevan A. Kulkarni ◽  
R. S. Jangid

1991 ◽  
Vol 28 (2) ◽  
pp. 133-170 ◽  
Author(s):  
D.G. Mabey ◽  
B.L. Welsh ◽  
C.R. Pyne
Keyword(s):  

Author(s):  
Suresh Rajendran ◽  
Nuno Fonseca ◽  
C. Guedes Soares

This paper discusses the numerical analysis of an ultra large containership model in severe head seas. A body nonlinear time domain code based on the strip theory is used for the calculation of the rigid body response of the vessel. The radiation, diffraction, Froude-krylov and hydrostatic forces are calculated for the exact wetted surface area of the ship at each time step. A practical engineering approach is followed to calculate the body nonlinear radiation and diffraction forces. The numerical vertical bending moment is compared with the experimental results. The experiment was conducted on a flexible model in both regular and irregular waves. The model comprised six segments that were joined with an aluminum backbone of variable stiffness characteristics in order to replicate the hydroelastic behavior of the real ship. The model was tested for two ship speeds, 15 and 22 knots. For the first three harmonic values of the vertical bending moment, a good agreement between the numerical and the experimental results are found. However, higher harmonics significantly contributed to the total experimental vertical bending moment, in regular waves with 8m wave height and a ship speed of 15 knots. Similarly, the value of the fourth harmonic was 32% of the first harmonic values when the ship encountered a 5m regular wave with 22 knots speed. On comparison of the rigid body response in irregular seas, the hydroelastic loads resulted in 49% increase in the maximum value of the vertical bending moment.


1987 ◽  
Vol 109 (4) ◽  
pp. 435-442 ◽  
Author(s):  
R. I. Zadoks ◽  
A. Midha

The rigid-body equations of motion for conservative rotating machine systems with position-dependent moments of inertia are found to reduce to a single, second-order, inhomogeneous, nonlinear, ordinary differential equation with variable coefficients. Upon linearization this equation is reduced to first-order form. A rational proportionality between the periods of the variable coefficient and the in-homogeneous term implies that the steady-state rigid-body response will also be periodic. To solve for the steady-state rigid-body response the least common period of the system is divided into an appropriate number of sub-intervals, and the solution over each sub-interval is derived by assuming a constant value of the coefficient during that sub-interval. The final solution is computed by applying appropriate compatiblity and periodicity constraints. The solution algorithm is extended to systems for which the linearization assumptions do not apply through the application of a recursion scheme. Examples are included to illustrate the utility of the algorithm.


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