Relevant bibliographies by topics / Natural frequency calculation

Academic literature on the topic 'Natural frequency calculation'

Author: Grafiati
Published: 19 August 2021
Last updated: 16 February 2022

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Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Journal articles on the topic "Natural frequency calculation":

1

Rapo, Marja, Jukka Aho, and Tero Frondelius. "Natural Frequency Calculations with JuliaFEM." Rakenteiden Mekaniikka 50, no. 3 (August 21, 2017): 300–303. http://dx.doi.org/10.23998/rm.65040.

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This article presents a simple natural frequency analysis performed with JuliaFEM - an open-source finite element method program. The results are compared with the analysis results pruduced with a commercial software. The comparison shows that the calculation results between the two programs do not differ significantly.
2

Chen, Zhi Ying, Zhong Hua Liu, and Wen Song Hou. "Test and Numerical Analysis of Natural Frequency for Tube." Applied Mechanics and Materials 472 (January 2014): 13–16. http://dx.doi.org/10.4028/www.scientific.net/amm.472.13.

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In order to confirm the validity of calculating natural frequencies for filling liquid tube by the FEA. The simulation calculation could be achieved for tube vibration analysis of digital design. Natural frequencies are measured and calculated for tubes with liquid by the FEA and test. Using the hammering method vibration feature is tested for freedom tube of empty, filling oil and filling fuel. And natural frequencies are calculated by the FEA on ANSYS software. Effect factors are analyzed on natural frequencies for tube diameter, liquid type etc. Especially the numerical value of frequency decrease is found with filling liquid tube. The calculation model of natural frequencies is build on including several factors such as filling liquid. The technology foundation is established for analyzing tube vibration features. The simplification calculation could be provided for simulating vibration analysis of digital design tubes.
3

Kumarci, K., P. K. Dehkordi, and I. Mahmodi. "Calculation of Plate Natural Frequency by Genetic Programming." Journal of Applied Sciences 10, no. 6 (March 1, 2010): 451–61. http://dx.doi.org/10.3923/jas.2010.451.461.

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Bai, Xin Li, Gui Rong Liu, and Song An Zhang. "Optimal Design of a Scroll Case with Natural Frequency Constraints." Applied Mechanics and Materials 94-96 (September 2011): 1719–22. http://dx.doi.org/10.4028/www.scientific.net/amm.94-96.1719.

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In this paper, sensitivity formula with analytical method is derived for calculating structural natural frequency, and the partial derivative of plate element stiffness matrix and mass matrix with respect to design variables are gained respectively. Computer programs for computing frequency sensitivity with analytical method are developed. And combining it with large finite element structural analysis software ADINA, the optimal design software based on genetic algorithms, a structural dynamic optimization program system is constituted for computing structural natural frequency sensitivity with analytical method. Finally, the program system is applied to the optimal design of a turbine scroll case of a hydropower station (taking into account the natural frequency constraints). Calculation results show that analytical method presented in the paper is of higher computational precision, good stability, convenient to use, and can be popularized. Calculation results obtained the approval of client and used in real engineering.
5

Hao, Ting Yue. "Analysis of Vibrating Natural Frequency of Pressure Pipeline." Advanced Materials Research 421 (December 2011): 98–101. http://dx.doi.org/10.4028/www.scientific.net/amr.421.98.

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The pressure pipeline is simplified as the beam model with two simple supported ends. The mathematical model is established, considering influence of the fluid-solid coupling vibration. Then the critical flow velocity is obtained by calculation and solving. By analyzing the practical numerical example，the influence of physical parameters on the first three-order natural frequency is discussed. Using Matlab software for programming, the instability condition of pressure pipeline is obtained, which is consistent with the result of numerical calculation.
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Xie, Mowen, Weinan Liu, Yan Du, Qingbo Li, and Hongfei Wang. "The Evaluation Method of Rock Mass Stability Based on Natural Frequency." Advances in Civil Engineering 2021 (April 24, 2021): 1–9. http://dx.doi.org/10.1155/2021/6652960.

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The limit equilibrium method’s analysis index cannot be measured by on-site monitoring equipment and cannot be used for monitoring and early warning of rock instability. The existing rock stability evaluation methods based on vibration information cannot evaluate the stability of rocks quantitatively. In this paper, the slope’s constraints on the rock were simplified to springs and a three-dimensional analysis model of rock vibration was established. The equation for calculating the natural frequency of rock that includes the spring stiffness as an indicator was derived. The rock stability calculation function containing the index of natural frequency was brought into the traditional rock stability coefficient calculation equation, and a new rock stability analysis method based on natural frequency was established. The experiment proved the measurability of the index of the natural frequency of rock and the method’s effectiveness for the stability analysis of the rock based on natural frequency.
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Li, Bao Lin, Shuai Fan, and Yan Zhang. "The Modal Analysis of Roller Chain Drives." Advanced Materials Research 291-294 (July 2011): 1551–54. http://dx.doi.org/10.4028/www.scientific.net/amr.291-294.1551.

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Aiming at calculating the natural frequency of roller chain drives, the software Catia was used for modeling the roller chain drives accurately and Ansys Workbench was applied to analyze the modal and harmonic response of the tension side chains, comparing the natural frequency and the theoretical calculation results of simplified model. The results showed that the deviation increased with the increase of the order of natural frequency and modal numerical simulation provides certain reference for engineering application.
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Suangga, Made, and Santi. "Dynamic Analysis on PCI Girder Bridge." Applied Mechanics and Materials 747 (March 2015): 375–78. http://dx.doi.org/10.4028/www.scientific.net/amm.747.375.

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To produce a quality bridge then it should be taken into account with the correct parameters and the condition of the bridge. One of the parameters is an important bridge natural frequency incurred due to dynamic loads. The purpose of this study was to conduct a comparative analysis of the natural frequency of bridge girder value measurement results in the field of natural frequency calculation results using Midas Civil programs and manuals, as well as knowing the value of the condition value of natural frequency of bridge between the actual value of natural frequency measurement results on the field and the value of natural frequency calculation program results Midas Civil. In the analysis, use design bridge gelagar PCI with a span of 21,95 meters. And bridge specifications will be made from the analysis of the natural frequency of the load calculation of structures with Midas program manual and Civil that would then be compared with the results of field measurements to find out the condition of the bridge. The natural frequency obtained from calculation manual for a bridge girder single of 5,95 Hz, and multi girder of 5,72 Hz.While value natural frequency of program midas civil for singles girder of 6,16 Hz, and for multi girder of 5,93Hz.
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曹, 梦增. "Simplified Calculation of Natural Frequency of Structure Considering Axial Force." Hans Journal of Civil Engineering 08, no. 03 (2019): 611–16. http://dx.doi.org/10.12677/hjce.2019.83072.

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Jiang, He, and Bo Zheng. "Stability Analysis and Natural Frequency Calculation of Composite Cap-Beam." Advanced Materials Research 1090 (February 2015): 107–13. http://dx.doi.org/10.4028/www.scientific.net/amr.1090.107.

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According to the Classical Lamination Theory, this paper deduced the effective flexural rigidity of Cap-Beam with the relationship between the internal force and strain when the beam are under the pure bending state, then use the effective flexural rigidity to deduce the axial critical load and the natural frequency of this beam, finally, use the finite element method to verify the formula , provide a reference for the application of the cap-type and other section types of composite beam in engineering.
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Journal articles

Dissertations / Theses on the topic "Natural frequency calculation":

1

Fredriksson, Robert, and Milovan Trkulja. "Fuel Efficiency in AWD-system." Thesis, Jönköping University, JTH, Mechanical Engineering, 2008. http://urn.kb.se/resolve?urn=urn:nbn:se:hj:diva-1589.

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This degree project has been made in cooperation with engineers working for GM Engineering/Saab Automobile AB in Trollhättan. The given name by Saab for the project is “Fuel efficiency improvements in All Wheel Drive(AWD)-system”. The main tasks of this thesis work were to investigate the size of the power losses in different parts on the propeller shaft, to design a computer program that calculates

coordinates and angles on a propeller shaft and to investigate the possibilities to put together a simplified formula that calculates the natural frequencies on a propeller shaft.

The main parts of this report are a compilation of the theory about AWD and mostly about the parts on the propeller shaft, and also a description of the developed computer program called Propeller Shaft Calculator. This report doesn’t concern power losses in the different joints because there were no such general equations to be found. The most common way to calculate the power losses inside a joint is to do tests were the power loss is measured at different angles, torque and speed and then use that data to put together an approximated equation.

Most of the work on this project has been on theory studies and on programming. The main result of the project is the program Propeller Shaft Calculator.

Propeller Shaft Calculator is a program that is designed in Microsoft Excel. All the menus are programmed in the visual basic editor in Excel. The program is supposed to be used as a help while designing new propeller shafts.

Propeller Shaft Calculator can calculate all the coordinates, lengths, angles and directions on a propeller shaft. It also calculates natural frequencies, plunge, estimated power loss on the second shaft and angles in the joints. In the program you can choose to do calculations on four different configurations of propeller shafts but can quite

easy upgrade the program with more choices.

Basically the program works like this:

First you choose the right propeller shaft in the main menu. Then you fill out the indata sheet with coordinates, lengths, material data and so on. As you type in the input data the output data will appear in the out-data sheet next to the in-data. Every propeller shaft has also a calculations sheet were more detailed calculations can be

found.

The program also has a built in help function and a warning function that lights a warning sign next to the values if they are outside the limits.

2

Tailony, Rauf. "Internal Combustion Engine Cold Test Driveline Modeling, Analysis and Development." University of Toledo / OhioLINK, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=toledo1564765172535669.

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Eriksson, Jennifer. "Horizontal natural frequency in a 10 story building : A comparison between CLT and concrete using estimate calculations." Thesis, Umeå universitet, Institutionen för tillämpad fysik och elektronik, 2018. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-152131.

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Tall slender buildings are easily set in motion by wind and earthquakes but by estimating the buildings horizontal natural frequencies in the design phase, these motions can be kept within acceptable boundaries. There are many parameters that decides the natural frequency of a building and it can therefore be difficult to calculate it. There are a few ways though to estimate horizontal natural frequencies of tall buildings and two methods have been tested in this report. Both methods give the frequency of a clamped-free cantilever but one of them requires a single degree of freedom system whilst the other handles a multi degree of freedom system. The methods are called SDOF method and MDOF method in this report. A fictional building was created for this project to be the reference object in the comparison between the two methods SDOF and MDOF. The walls and floors of the building was designed with the support of both an acoustic engineer and a structural engineer to create a realistic building. A building’s natural frequency is dependent of the self-weight, stiffness and height of the building and it was therefore important to design these components with care. The fictional building is called House 1 and is a 10 story, almost square building about 20 m wide and broad and 30 m high. This report does not only compare the natural frequencies obtained from the two different calculation methods, but it also shows the difference in frequency in timber and concrete structures. Shear walls constitutes the horizontal stabilization system of the fictional building and both a CLT core and a concrete core is designed and compared. It is only the walls that comes in two different versions, the floorings consist of CLT boards for both structures tested. The horizontal natural frequencies of House 1 were about 2 Hz and 3 Hz for the CLT version and concrete version respectively. It was expected to get frequencies within that range considering the height of House 1. The CLT core having a lower frequency than the concrete core was also expected since concrete is a stiffer material than wood. To be able to make a fair comparison between the SDOF method and the MDOF method, House 1 was designed with the same dimensions and stiffness on all floors because the SDOF method requires that. The results from the two methods are almost identical with only 0.3 Hz and 0.4 Hz difference for the concrete and CLT respectively. For a shear wall structure with a consistent stiffness, weight and dimension, any of the two methods can be used to estimate the horizontal natural frequency. However, it is not realistic for a building of 30 m or higher, to have the same dimensions on the load bearing structure on all floors which makes the MDOF method more accurate in more cases than the SDOF method.
Höga slanka byggnader kan sättas i svajande rörelser av vind och jordbävningar, men genom att uppskatta byggnadernas horisontella egenfrekvenser i den tidiga konstruktionsfasen kan dessa rörelser hållas inom acceptabla gränser. Det är många parametrar som bestämmer byggnadens egenfrekvens och det kan därför vara svårt att beräkna den. Det finns dock några sätt att uppskatta horisontella egenfrekvenser hos höga byggnader och två metoder har testats i denna rapport. Båda metoderna ger frekvensen av en fast inspänd konsolbalk men en av dem kräver ett enfrihetsgradsystem medan den andra kan hantera ett system med flera frihetsgrader. Metoderna kallas SDOF-metoden och MDOF-metoden i denna rapport. En fiktiv byggnad skapades i detta projekt för att vara referensobjekt i jämförelsen mellan de två metoderna SDOF och MDOF. Byggnadens väggar och golv konstruerades med stöd av både en akustiker och en konstruktör för att skapa en realistisk byggnad. Byggnadens egenfrekvens är beroende av byggnadens egenvikt, styvhet och höjd och det var därför viktigt att utforma dessa komponenter med omsorg. Den fiktiva byggnaden kallas House 1 och är en 10 vånings-, nästan fyrkantig byggnad ca 20 m lång och bred och 30 m hög. Denna rapport jämför inte bara egenfrekvenserna erhållna från de två olika beräkningsmetoderna, den visar även skillnaden i frekvens i trä- och betongkonstruktioner. Skjuvväggar utgör det horisontella stabiliseringssystemet för den fiktiva byggnaden och både en KL-kärna och en betongkärna har utformats och jämförts. Det är bara väggarna som skiljer de två olika versionerna åt, bjälklagen består av KL-skivor i båda fallen. De horisontella egenfrekvenserna hos House 1 var ca 2 Hz och 3 Hz för KL-version respektive betongversion. Frekvenser inom detta område var väntade med tanke på höjden av House 1. Att KL-kärnan skulle ha en lägre frekvens än betongkärnan förväntades också eftersom betong är ett styvare material än trä. För att kunna göra en rättvis jämförelse mellan SDOF-metoden och MDOF-metoden, var House 1 utformad med samma dimension och styvhet på alla våningsplan eftersom SDOF-metoden kräver det. Resultaten från de två metoderna är nästan identiska med endast 0,3 Hz och 0,4 Hz skillnad för betong respektive KL. För en skjuvväggskonstruktion med en kontinuerlig styvhet, vikt och dimension kan båda de två metoderna användas för att uppskatta den horisontella egenfrekvensen. Det är dock inte realistiskt för en byggnad på 30 m eller högre att ha samma dimensioner på den lastbärande konstruktionen på alla våningar vilket gör MDOF-metoden mer korrekt i fler fall än SDOF-metoden.
4

Li, Yuan-You, and 李元祐. "Natural frequency calculation of thin wall structure during machining." Thesis, 2017. http://ndltd.ncl.edu.tw/handle/56179213671911708463.

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碩士
國立中興大學
機械工程學系所
105
To avoid thin-walled workpieces arising chatter, it can be based on the chatter stability lobes. The chatter stability lobes can be got by the natural frequencies of the thin-walled workpieces. This study applies the Rayleigh-Ritz method (RRM) to calculate natural frequencies of vise-clamped thin-walled workpieces in the vise-clamped. The Rayleigh-Ritz method is suitable for multi-degree-of-freedom systems and the calculation time is shorter. Compared Rayleigh-Ritz method with other commercial software is also quite accurate. The study has two goals 1. To discuss accuracy between different theories and choose a suitable theory to calculate natural frequencies. 2. Applying the Rayleigh-Ritz method to calculate the natural frequencies of the rectangular plates and the stepped thickness plates in the vise-clamped, and validate the accuracy of the theory with experiment.

Books on the topic "Natural frequency calculation":

1

Kamenskaya, Valentina, and Leonid Tomanov. The fractal-chaotic properties of cognitive processes: age. ru: INFRA-M Academic Publishing LLC., 2020. http://dx.doi.org/10.12737/1053569.

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In the monograph the literature information about the nature of stochastic processes and their participation in the work of the brain and human behavior. Established that the real cognitive processes and mental functions associated with the procedural side of external events and the stochastic properties of the internal dynamics of brain systems in the form of fluctuations of their parameters, including cardiac rhythm generation and sensorimotor reactions. Experimentally proved that the dynamics of the measured physiological processes is in the range from chaotic regime to a weakly deterministic — fractal mode. Fractal mode determines the maximum order and organization homeostasis of cognitive processes and States, as well as high adaptive ability of the body systems with fractal properties. The fractal-chaotic dynamics is a useful quality to examine the actual physiological and psychological systems - a unique numerical identification of the order and randomness of the processes through calculation of fractal indices. The monograph represents the results of many years of experimental studies of the reflection properties of stochastic sensorimotor reactions, as well as stochastic properties of heart rate in children, Teens and adults in the age aspect in the speech activity and the perception of different kinds of music with its own frequency-spectral structure. Designed for undergraduates, graduate students and researchers that perform research and development on cognitive psychology and neuroscience.
2

Thevenot, Catherine, and Pierre Barrouillet. Arithmetic Word Problem Solving and Mental Representations. Edited by Roi Cohen Kadosh and Ann Dowker. Oxford University Press, 2014. http://dx.doi.org/10.1093/oxfordhb/9780199642342.013.043.

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Arithmetic word problem solving is considered as a testing ground of mathematical achievement, but remains the area of mathematics in which students experience the greatest difficulties. In this chapter, we review recent theoretical and empirical work that could shed light on these difficulties. We first describe the most frequently used classifications of word problems and assess their psychological relevance. Then, we present the main hypotheses concerning the nature of the representations involved in word problems. Some theories assume that problem solving relies on the instantiation of schemas abstracted from recurrently encountered problems of the same relational structure, whereas other theories propose that ad hoc transient mental representations are constructed for each problem encountered. A third part is devoted to the impact of individual differences in calculation, reading comprehension, and more general factors, such as working memory capacity. Finally, we address the issue of enhancing performance in word problem solving.
3

Karatasakis, G., and G. D. Athanassopoulos. Cardiomyopathies. Oxford University Press, 2011. http://dx.doi.org/10.1093/med/9780199599639.003.0019.

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Echocardiography is a key diagnostic method in the management of patients with cardiomyopathies.The main echocardiographic findings of hypertrophic cardiomyopathy are asymmetric hypertrophy of the septum, increased echogenicity of the myocardium, systolic anterior motion, turbulent left ventricular (LV) outflow tract blood flow, intracavitary gradient of dynamic nature, mid-systolic closure of the aortic valve and mitral regurgitation. The degree of hypertrophy and the magnitude of the obstruction have prognostic meaning. Echocardiography plays a fundamental role not only in diagnostic process, but also in management of patients, prognostic stratification, and evaluation of therapeutic intervention effects.In idiopathic dilated cardiomyopathy, echocardiography reveals dilation and impaired contraction of the LV or both ventricles. The biplane Simpson’s method incorporates much of the shape of the LV in calculation of volume; currently, three-dimensional echocardiography accurately evaluates LV volumes. Deformation parameters might be used for detection of early ventricular involvement. Stress echocardiography using dobutamine or dipyridamole may contribute to risk stratification, evaluating contractile reserve and left anterior descending flow reserve. LV dyssynchrony assessment is challenging and in patients with biventricular pacing already applied, optimization of atrio-interventricular delays should be done. Specific characteristics of right ventricular dysplasia and isolated LV non-compaction can be recognized, resulting in an increasing frequency of their prevalence. Rare forms of cardiomyopathy related with neuromuscular disorders can be studied at an earlier stage of ventricular involvement.Restrictive and infiltrative cardiomyopathies are characterized by an increase in ventricular stiffness with ensuing diastolic dysfunction and heart failure. A variety of entities may produce this pathological disturbance with amyloidosis being the most prevalent. Storage diseases (Fabry, Gaucher, Hurler) are currently treatable and early detection of ventricular involvement is of paramount importance for successful treatment. Traditional differentiation between constrictive pericarditis (surgically manageable) and the rare cases of restrictive cardiomyopathy should be properly performed.

Book chapters on the topic "Natural frequency calculation":

1

Wang, Chunning, Bingbing Chen, Honghua Xu, Hongzhong Ma, and Jiewei Gong. "Calculation and analysis of natural frequency of transformer based on finite element model." In Electronics, Communications and Networks IV, 1729–32. CRC Press, 2015. http://dx.doi.org/10.1201/b18592-314.

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Bose, Saugata, and Ritambhra Korpal. "Machine-Learning-Based External Plagiarism Detecting Methodology From Monolingual Documents." In Scholarly Ethics and Publishing, 442–58. IGI Global, 2019. http://dx.doi.org/10.4018/978-1-5225-8057-7.ch021.

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In this chapter, an initiative is proposed where natural language processing (NLP) techniques and supervised machine learning algorithms have been combined to detect external plagiarism. The major emphasis is on to construct a framework to detect plagiarism from monolingual texts by implementing n-gram frequency comparison approach. The framework is based on 120 characteristics which have been extracted during pre-processing steps using simple NLP approach. Afterward, filter metrics has been applied to select most relevant features and supervised classification learning algorithm has been used later to classify the documents in four levels of plagiarism. Then, confusion matrix was built to estimate the false positives and false negatives. Finally, the authors have shown C4.5 decision tree-based classifier's suitability on calculating accuracy over naive Bayes. The framework achieved 89% accuracy with low false positive and false negative rate and it shows higher precision and recall value comparing to passage similarities method, sentence similarity method, and search space reduction method.
3

Bose, Saugata, and Ritambhra Korpal. "Machine-Learning-Based External Plagiarism Detecting Methodology From Monolingual Documents." In Feature Dimension Reduction for Content-Based Image Identification, 122–39. IGI Global, 2018. http://dx.doi.org/10.4018/978-1-5225-5775-3.ch007.

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In this chapter, an initiative is proposed where natural language processing (NLP) techniques and supervised machine learning algorithms have been combined to detect external plagiarism. The major emphasis is on to construct a framework to detect plagiarism from monolingual texts by implementing n-gram frequency comparison approach. The framework is based on 120 characteristics which have been extracted during pre-processing steps using simple NLP approach. Afterward, filter metrics has been applied to select most relevant features and supervised classification learning algorithm has been used later to classify the documents in four levels of plagiarism. Then, confusion matrix was built to estimate the false positives and false negatives. Finally, the authors have shown C4.5 decision tree-based classifier's suitability on calculating accuracy over naive Bayes. The framework achieved 89% accuracy with low false positive and false negative rate and it shows higher precision and recall value comparing to passage similarities method, sentence similarity method, and search space reduction method.
4

Bethke, Craig M. "Introduction." In Geochemical Reaction Modeling. Oxford University Press, 1996. http://dx.doi.org/10.1093/oso/9780195094756.003.0005.

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As geochemists, we frequently need to describe the chemical states of natural waters, including how dissolved mass is distributed among aqueous species, and to understand how such waters will react with minerals, gases, and fluids of the Earth's crust and hydrosphere. We can readily undertake such tasks when they involve simple chemical systems, in which the relatively few reactions likely to occur can be anticipated through experience and evaluated by hand calculation. As we encounter more complex problems, we must rely increasingly on quantitative models of solution chemistry and irreversible reaction to find solutions. The field of geochemical modeling has grown rapidly since the early 1960s, when the first attempt was made to predict by hand calculation the concentrations of dissolved species in seawater. Today's challenges might be addressed by using computer programs to trace many thousands of reactions in order, for example, to predict the solubility and mobility of forty or more elements in buried radioactive waste. Geochemists now use quantitative models to understand sediment diagenesis and hydrothermal alteration, explore for ore deposits, determine which contaminants will migrate from mine tailings and toxic waste sites, predict scaling in geothermal wells and the outcome of steam-flooding oil reservoirs, solve kinetic rate equations, manage injection wells, evaluate laboratory experiments, and study acid rain, among many examples. Teachers let their students use these models to learn about geochemistry by experiment and experience. Many hundreds of scholarly articles have been written on the modeling of geochemical systems, giving mathematical, geochemical, mineralogical, and practical perspectives on modeling techniques. Dozens of computer programs, each with its own special abilities and prejudices, have been developed (and laboriously debugged) to analyze various classes of geochemical problems. In this book, I attempt to treat geochemical modeling as an integrated subject, progressing from the theoretical foundations and computational concerns to the ways in which models can be applied in practice. In doing so, I hope to convey, by principle and by example, the nature of modeling and the results and uncertainties that can be expected. Hollywood may never make a movie about geochemical modeling, but the field has its roots in top-secret efforts to formulate rocket fuels in the 1940s and 1950s.
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Danesi, Marcel. "e." In Pythagoras' Legacy, 82–92. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780198852247.003.0006.

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The number e, which is equal to 2.71828…, might seem like something trivial—a play on numbers by mathematicians. Nothing could be further from the truth. It is defined as the limit of the expression (1 + 1/n)n as n becomes large without bound. What possible connection does this number have with other areas of mathematics? As it turns out, it forms the base of natural logarithms; it appears in equations describing growth and change; it surfaces in formulas for curves; it crops up frequently in probability theory; and it appears in formulas for calculating compound interest. It is another example of how the ideas in mathematics are not isolated ones, but highly interrelated. The purpose of this chapter is, in fact, to link e to other great ideas, showing how mathematical discovery forms a chain—a chain constructed with a handful of fundamental ideas that appear across time and space, finding form and explanation in the writings and musings of individual mathematicians.
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Jaitly, Vanita, Shilpa Sharma, and Linesh Raja. "Towards Intelligent Agriculture Using Smart IoT Sensors." In Advances in Environmental Engineering and Green Technologies, 231–49. IGI Global, 2021. http://dx.doi.org/10.4018/978-1-7998-5003-8.ch012.

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The word “smart” is quite commonly associated with different types of products of IoT sensors and its contemporary technology. The frequent progress in the contemporary technology includes convention and the progressive integration of microprocessor. This gives the smart sensors application to a wide range of applications. Smart sensors when associated with agriculture are known as smart agriculture. With the help of smart sensors, technology of internet of things has helped agriculture in facilitating its efficiency, which further helps in decreasing the impact of environment on the production of the crops and deprecate the expenses. This is done by a few methods like calculating the condition of the environment, which affects the production of the crops, keeping a check on the cattle health and indicating when some problem occurs. The author discussed about sensors, their nature and evolution, generations of smarts sensors, and how they became better with the course of time in terms of smart agriculture.
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"Incorporating Uncertainty into Fishery Models." In Incorporating Uncertainty into Fishery Models, edited by Pamela M. Mace and Michael P. Sissenwine. American Fisheries Society, 2002. http://dx.doi.org/10.47886/9781888569315.ch2.

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<em>Abstract.—</em> Scientists, managers and fishers have always known that uncertainty is an integral part of nature. Early assessment models dealt with uncertainty as a signal-noise problem, developing deterministic, equilibrium relationships to explain cause and effect. Other models coped with uncertainty by normalizing model outputs against inputs that were known to be highly variable (for example, yield per recruit analysis, which avoids consideration of recruitment variability by performing calculations on a per recruit basis). Although deterministic approaches are still widely used, it is also true that methods for quantifying and presenting uncertainty have been taught, developed, and applied for several decades. The question has been less one of how to present uncertainty, rather than whether to present it. What purpose would it serve? Experience showed that managers or politicians presented with a range of estimates frequently chose to set quotas from the risk-prone end of the range. In short, uncertainty was used as a reason for avoiding conservation measures. Development of the precautionary approach to fisheries management has initiated a transition in the perception of uncertainty from that of a reason to avoid action to that of a reason to exercise caution. Increased public awareness of the limits to the productivity of natural marine resources and increasing numbers of economically devastating stock collapses have been instrumental in initiating the transition, more so than scientific advances in the modeling and representation of uncertainty. This transition is, however, more active on paper than in actual implementation. Today, one challenge is to integrate science and management into a rigorous, risk-averse, decision analysis framework, and another is to further promote responsible management and the application of the precautionary approach in the face of uncertainty. Presentation of uncertainty as risk profiles or Bayesian posterior distributions rather than confidence intervals around point estimates has provided a more objective basis for evaluating the consequences of alternative management decisions, but there is a need for better comprehension of the full consequences of the large risks managers, fishers and other stakeholders (which includes the public in general) often appear to be willing to take.
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"Incorporating Uncertainty into Fishery Models." In Incorporating Uncertainty into Fishery Models, edited by Pamela M. Mace and Michael P. Sissenwine. American Fisheries Society, 2002. http://dx.doi.org/10.47886/9781888569315.ch2.

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Abstract:
<em>Abstract.—</em> Scientists, managers and fishers have always known that uncertainty is an integral part of nature. Early assessment models dealt with uncertainty as a signal-noise problem, developing deterministic, equilibrium relationships to explain cause and effect. Other models coped with uncertainty by normalizing model outputs against inputs that were known to be highly variable (for example, yield per recruit analysis, which avoids consideration of recruitment variability by performing calculations on a per recruit basis). Although deterministic approaches are still widely used, it is also true that methods for quantifying and presenting uncertainty have been taught, developed, and applied for several decades. The question has been less one of how to present uncertainty, rather than whether to present it. What purpose would it serve? Experience showed that managers or politicians presented with a range of estimates frequently chose to set quotas from the risk-prone end of the range. In short, uncertainty was used as a reason for avoiding conservation measures. Development of the precautionary approach to fisheries management has initiated a transition in the perception of uncertainty from that of a reason to avoid action to that of a reason to exercise caution. Increased public awareness of the limits to the productivity of natural marine resources and increasing numbers of economically devastating stock collapses have been instrumental in initiating the transition, more so than scientific advances in the modeling and representation of uncertainty. This transition is, however, more active on paper than in actual implementation. Today, one challenge is to integrate science and management into a rigorous, risk-averse, decision analysis framework, and another is to further promote responsible management and the application of the precautionary approach in the face of uncertainty. Presentation of uncertainty as risk profiles or Bayesian posterior distributions rather than confidence intervals around point estimates has provided a more objective basis for evaluating the consequences of alternative management decisions, but there is a need for better comprehension of the full consequences of the large risks managers, fishers and other stakeholders (which includes the public in general) often appear to be willing to take.

Conference papers on the topic "Natural frequency calculation":

1

Kang, Ting, and Jin-yu Xu. "Spline finite point method for calculation natural frequency of arch structures." In 2011 International Conference on Electric Technology and Civil Engineering (ICETCE). IEEE, 2011. http://dx.doi.org/10.1109/icetce.2011.5776083.

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Mosmann, Rodrigo Muza, and Jun Sérgio Ono Fonseca. "Calculation of Structures under Compliance and Natural Frequency Constraints using Topology Optimization." In 2004 SAE Brasil Congress and Exhibit. 400 Commonwealth Drive, Warrendale, PA, United States: SAE International, 2004. http://dx.doi.org/10.4271/2004-01-3409.

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Saijo, O., and H. Eto. "Natural Frequency Analysis of Elastic Plate." In ASME 1997 Turbo Asia Conference. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/97-aa-099.

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Large scale floating structures, such as floating airport and amusement park having two dimensional expanse in horizontal direction, which structural concept can be considered as plate-type structural system. This structural system has a great deal of potential to be applied to oceanic structures like a artificial ground. This practical fabrication will be done by a combination of units. The hydroelastic interaction problem and structural design have attracted the attention of researchers and structural engineers. This paper presents consideration and conclusion through the numerical calculation results of the natural frequency studied under the various supporting conditions by developed computer program. The theoretical development is obtained by a way of combination of finite element method (FEM) and boundary integral equation method (BIEM). As to natural frequency analysis of oceanic structures based on the fluid-structure interaction, in general, there is an assumption to make it possible by estimating properly the added mass of the structure surrounding by water. The added mass of floating plate obtained by BIEM is modified and transformed into mass matrix of plate in FEM analysis. Herein, FEM analysis is based on the bending vibration assumption.
4

Shangguan, Wen-Bin, Yumin Wei, Subhash Rakheja, Xu Zhao, Jun-wei Rong, and Ya-jie Wang. "A Study on Calculation Method of Natural Frequency for Rubber Damped Torsional Vibration Absorbers." In ASME 2014 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/imece2014-37646.

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The natural frequency is the key performance parameters of a rubber materials damper, and it is determined by the static and dynamic shear properties of the rubber materials (rubber ring) and the moment of inertia of the inertia ring. The rubber ring is usually in compression state, and its static and dynamic shear properties are dependent on its sizes, compression ratio and chemical ingredients. A special fixture is designed and used for measuring static and dynamic shear performance of a rubber ring under different compression ratios in the study. To characterize the shear static and dynamic performances of rubbers, three constructive models (Kelvin-Voigt, the Maxwell and the fractional derivative constitutive model) are presented and the method for obtaining the model parameters in the fractional derivative constructive models are developed using the measured dynamic performance of a rubber shear specimen. The natural frequency of a rubber materials damper is calculated using the fractional derivative to characterize the rubber ring of the damper, and the calculated frequencies are compared with the measurements.
5

Lou, Jingjun, Shijian Zhu, Weijian Qian, and Lin He. "Single-Bagged Air Spring’s Parameter Calculation." In ASME 2001 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2001. http://dx.doi.org/10.1115/detc2001/vib-21640.

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Abstract This paper sets up a dynamic model of a single-bagged air spring with an auxiliary air chamber on the basis of the polytrope process state equation. The calculation formulas for stiffness and natural frequency are derived. Factors affecting damping coefficient and natural frequency are analyzed.
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C´atipovic´, Ivan, Vec´eslav Cˇoric´, and Duje Veic´. "Calculation of Floating Crane Natural Frequencies Based on Linearized Multibody Dynamics." In ASME 2011 30th International Conference on Ocean, Offshore and Arctic Engineering. ASMEDC, 2011. http://dx.doi.org/10.1115/omae2011-49303.

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Natural frequencies and modes of a floating crane with a suspended load are studied. Both the floating crane and the suspended load are modeled as rigid bodies with six degrees of freedom. The suspended load is considered to be partially immersed in the sea water. A wire rope for load suspension is assumed to be non-extensible and without bending stiffness. Linearized governing equations for a coupled dynamic response are derived based on the multibody system dynamics with small displacements assumption. An added mass for the floating crane as well as the partially immersed load is determined using traditional potential theory and tree-dimensional boundary element method (in a frequency domain). Mapping from the frequency to the time domain is necessary to determine the correct added mass value for calculating above described natural frequencies and modes. A damping of the overall system can be calculated as some small portion of a critical damping. A numerical example is based on the floating crane during positioning of precast concrete piles. These piles are main part of foundations for over sea bridges.
7

Wang, Wei, and Hao Zhang. "The Analysis of Stator System Natural Frequency Calculation Method on Transverse Flux Permanent Magnet Motor." In 2019 IEEE 8th Data Driven Control and Learning Systems Conference (DDCLS). IEEE, 2019. http://dx.doi.org/10.1109/ddcls.2019.8908867.

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Chen, Xiangfu, Wei Shao, Mingliang Shen, Anzhong Zhao, Junsheng Zhao, and Jianmin Cai. "Analysis and calculation on the safe natural frequency in Z-direction of anti-seismic structure." In 2011 International Conference on Electric Technology and Civil Engineering (ICETCE). IEEE, 2011. http://dx.doi.org/10.1109/icetce.2011.5776559.

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Kharchenko, S. S., R. V. Mescheryakov, D. A. Volf, L. N. Balatskaya, and E. L. Choinzonov. "Fundamental frequency evaluation subsystem for natural speech rehabilitation software calculation module for cancer patients after larynx resection." In 2015 International Conference on Biomedical Engineering and Computational Technologies (SIBIRCON). IEEE, 2015. http://dx.doi.org/10.1109/sibircon.2015.7361882.

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Forbes, Gareth L., and Ahmed M. Reda. "Influence of Axial Boundary Conditions on Free Spanning Pipeline Natural Frequencies." In ASME 2013 32nd International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/omae2013-10147.

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The effect of axial restraint (boundary conditions) on the natural frequency of a free spanning pipeline is examined in this paper. Theoretical calculation of the natural frequency of a straight pipeline with simple boundary conditions is a trivial task with exact solutions being available. A pipeline lying on the seabed however is neither completely straight and the interaction with the soil at the span shoulders create more complex boundary conditions. DNV-RP-F105 provides guidance on the calculation of free span boundary conditions with these increased complexities. The DNV recommended practice does not however take into account the effect of the axial restraint on the natural frequency. Results are presented in this paper for a range of axial stiffness combined with span out of straightness for a free spanning pipeline. The results presented show that the effect of axial restraint for moderately out of straight free spans can cause significant deviation in the calculation of the span natural frequency.

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