Mathematical model of instrumental vibration error of navigation accelerometer and its identification at dynamic tests of accelerometer

Large tensile forces, known as snap loads, can occur when a slack rope becomes taut. Such forces may damage the rope or masses connected to it. Experiments are described in which one end of a rope is attached to the top of a drop tower and the bottom end is attached to a weight. The weight is raised to a certain height and then released. The force at the top of the rope and the acceleration of the weight are recorded during the first snap load that occurs. Repeated drop tests are performed on each rope. The effects of the type of rope, drop height, drop weight, whether the rope has been subjected to static precycling, and the number of previous dynamic tests are examined. A mathematical model is proposed for the rope force as a function of the displacement and velocity of the weight.

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Theoretical-experimental static and dynamic analysis of double layered catenary

Facta universitatis - series Architecture and Civil Engineering ◽

10.2298/fuace1002169v ◽

2010 ◽

Vol 8 (2) ◽

pp. 169-175 ◽

Cited By ~ 1

Author(s):

Ljubomir Vlajic ◽

Dragan Kostic

Keyword(s):

Mathematical Model ◽

Tensile Force ◽

Cost Effective ◽

Calculation Model ◽

Dynamic Tests ◽

Building Roof ◽

Static And Dynamic Analysis ◽

Static And Dynamic Tests ◽

The Stability ◽

The Mathematical Model

The paper presents the results of static and dynamic tests of double layered catenary of the swimming pool building roof in Leskovac. By the comparison of measured and calculated values, a potential was created to correct the mathematical model, and to verify it. Only then, the calculation model for all sorts of static and dynamic load was able to simulate the realistic behavior of the structure. In this paper, the authors presented the basic recommendations in terms of what initial tensile force should be adopted in order to control the stability of such very cost-effective girders.

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Mathematical model for soluble carbonaceous substrate biosorption

Water Science & Technology ◽

10.2166/wst.1995.0075 ◽

1995 ◽

Vol 31 (2) ◽

pp. 67-77 ◽

Cited By ~ 5

Author(s):

Libor Novák ◽

Luis Larrea ◽

Jiri Wanner

Keyword(s):

Mathematical Model ◽

Activated Sludge ◽

Treatment Plant ◽

Synthetic Wastewater ◽

Dynamic Tests ◽

Cultivation Conditions ◽

Biokinetic Model ◽

Kinetic Tests ◽

Conventional Models ◽

Adsorption Desorption

An activated sludge mathematical model for soluble carbonaceous substrate biosorption has been developed. The model allows the soluble COD fractions in biological reactors of a wastewater treatment plant and/or in batch cultivations to be predicted more precisely than by using conventional models. Special attention was paid to interactions between the biokinetic model structure and population dynamics of microorganisms in activated sludge. The model was developed using observations made on a synthetic wastewater which was dosed to a lab-scale, continuously operated plant with the D-R-D-N configuration. The development of the model advanced through several biokinetic models which resulted in a final version of the biosorption model. The model is constructed on a matrix structure. Adsorption, desorption and hydrolysis kinetics are incorporated into the model. Experimental results from batch cultivations carried out under anoxic and oxic conditions as well as some dynamic tests carried out with the continuously operated system served for the model calibration. Simulations of a wide diversity of kinetic tests demonstrate that the model is able to accurately predict the soluble COD under different cultivation conditions.

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Dynamic Model of the Test Station for Gear Drives Dynamic Tests

Key Engineering Materials ◽

10.4028/www.scientific.net/kem.669.434 ◽

2015 ◽

Vol 669 ◽

pp. 434-442 ◽

Cited By ~ 1

Author(s):

Anna Šmeringaiová ◽

Peter Šmeringai

Keyword(s):

Mathematical Model ◽

Computer Simulation ◽

Dynamic Model ◽

Dynamic Behaviour ◽

Dynamic Tests ◽

Experimental Assessment ◽

Experimental Station ◽

Gear Drives

The contribution deals with the issue of the experimental assessment of the dynamic behaviour of the gear drives. The objective is to design and to realize the experimental station for dynamic tests of gear drives in an accelerated mode. Described is the idea of the experimental station design, the procedure of creating its mathematical model and the model for computer simulation.

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The Accuracy of the Navigational Accelerometer with a Nonlinear Metrological Model in Operating Conditions

Transactions on Aerospace Research ◽

10.2478/tar-2020-0012 ◽

2020 ◽

Vol 2020 (3) ◽

pp. 1-10

Author(s):

Mycola Chernyak ◽

Vadym Kolesnyk

Keyword(s):

Mathematical Model ◽

Gravitational Field ◽

Random Vibration ◽

Dynamic Testing ◽

Main Idea ◽

Operating Conditions ◽

Classical Dynamic ◽

Static Tests ◽

Power Spectral ◽

Vibration Error

AbstractA mathematical model of the error of the navigational accelerometer caused by the nonlinearity of its metrological model, taking into account the influence of vibration, was developed. The method of experimental estimation of the vibration error based on the developed model was proposed. The main idea of the method is to evaluate parameters of the developed model during static tests in the terrestrial gravitational field and to calculate error according to the specific vibration characteristics – the amplitude in the case of harmonic vibration profile or the frequency band and the power spectral density in the case of random vibration. The effectiveness of the proposed method has been tested using three types of navigation accelerometers in comparison with the results of classical dynamic testing in various vibration conditions (harmonic, white noise, etc.).

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