Estimation of Bending Stresses in Piping Systems Subjected to Transient Pressure

2021 ◽  
Author(s):  
Maral Taghva ◽  
Lars Damkilde
Author(s):  
Maral Taghva ◽  
Lars Damkilde

Abstract Modifications in aged process plants may subject piping systems to fluid transient scenarios, which are not considered in the primary design calculations. Due to lack of strict requirements in ASME B31.3 the effect of this phenomenon is often excluded from piping structural integrity reassessments. Therefore, the consequences, such as severe pipe motion or even rupture failure, are discovered after modifications are completed and the system starts to function under new operational conditions. The motivation for this study emanated from several observations in offshore oil and gas piping systems, yet the results could be utilized in structural integrity assessments of any piping system subjected to pressure waves. This paper describes how to provide an approximate solution to determine maximum bending stresses in piping structures subjected to wave impulse loads without using rigorous approaches to calculate the dynamic response. This paper proposes to consider the effect of load duration in quasi-static analysis to achieve more credible results. The proposed method recommends application of lower dynamic load factors than commonly practiced values advised by design codes, for short duration loads such as shock waves. By presenting a real-life example, the results of improved and commonly practiced quasi-static analysis are compared with the site observations as well as dynamic analysis results. It is illustrated that modified quasi-static solution shows agreement with both dynamic analysis and physical behavior of the system. The contents of this study are particularly useful in structural strength re-assessments where the practicing engineer is interested in an approximated solution indicating if the design criteria is satisfied.


2003 ◽  
Author(s):  
J. Guillou ◽  
L. Paulhiac

Several vibration-induced failures at the root of small bore piping systems occurred in French nuclear power plants in past years. The evaluation of the failure risk of the small bore pipes requires a fair estimation of the bending stress under operating conditions. As the use of strain gauges is too time-consuming in the environmental conditions of nuclear power plants, on-site acceleration measurements combined with numerical models are easier to handle. It still requires yet a large amount of updating work to estimate the stress in multi-span pipes with elbows and supports. The aim of the present study is to propose an alternate approach using two accelerometers to measure the local nozzle deflection, and an analytical expression of the bending stiffness of the nozzle on the main pipe. A first formulation is based on a static deformation assumption, thus allowing the use of a simple analog converter to get an estimation of the RMS value of the bending stress. To get more accurate results, a second method is based on an Euler Bernoulli deformation assumption: a spectral analyzer is then required to get an estimation of the spectrum of the bending stress. A better estimation of its RMS value is then obtained. An experimental validation of the methods based on strain gauges has been successfully performed.


2015 ◽  
Vol 138 (1) ◽  
Author(s):  
Wuyi Wan ◽  
Fuqiang Li

Pumps and valves are primary power and control devices in water supply piping systems. A collaborative operational scheme is very important for a series pump–valve system to decrease the transient pressure during the startup process. In order to analyze the influence of the operational time differences between the pump and the valve on the transient process, a complicated pump system was numerically simulated using the method of characteristics (MOC). The boundary conditions of the pump and the valve were separately established by equating an auxiliary element in the discrete mesh. The transient pressure, pump speed, and flow were studied for various time differences and the valve opening process for the series pump–valve startup process. Furthermore, an optimal collaborative scheme was presented to prevent inverse rotation and overpressure during the startup process. The results show that a reasonable time-lapse and fast opening can prevent the backward flow and reverse rotation, as well as control the transient maximal pressure during the system startup process.


1982 ◽  
Vol 104 (4) ◽  
pp. 351-361 ◽  
Author(s):  
S. E. Moore ◽  
E. C. Rodabaugh

Section III of the ASME Boiler and Pressure Vessel Code contains simplified design formulas for placing bounds on the plastic deformations in nuclear power plant piping systems. For Class 1 piping a simple equation is given in terms of primary load stress indices (B1 and B2) and nominal pressure and bending stresses. The B1 and B2 stress indices reflect the capacities of various piping products to carry load without gross plastic deformation. In this paper, the significance of the indices, nominal stresses, and limits given in the Code for Class 1 piping and corresponding requirements for Class 2 and Class 3 piping are discussed. Motivation behind recent (1978–1981) changes in the indices and in the associated stress limits is presented.


Author(s):  
Shesh R. Koirala ◽  
Ilker T. Telci

Operation of fast closing valves in piping systems can create an overpressure condition, resulting in permanent deformation, joint damage, leakage, or rupture. Fast closing valves are used in many piping systems to protect personnel, equipment and the environment from the danger of overpressure. When there is a sudden closure of a piping system valve, the change in the flow velocity produces a transient increase in pipe pressure. This increased pressure is commonly known as transient, fluid hammer waterhammer, or surge pressure. In a very simplistic system, the excess pressure created by this sudden closure of valves can be computed using a simple hand calculation using Joukowsky method. The method is applicable only for the initial pressure wave generated. In complex systems, where there are dead legs (e.g. closed by-pass valves) or branches, there is more chance of the pressure waves being reflected, transmitted and superimposed. The overpressure problem is even more severe if a liquid column separation and re-joining occurs during the transient conditions. The magnitude of the pressure in the system due to these effects may be higher than that estimated by Joukowsky method. Hence a transient analysis needs to be performed to estimate the overpressure in the system. In this case study, the transient conditions initiated due to closure of buckling pin valves (BPVs) are modeled using a proprietary software CE099. The objectives are to calculate the maximum surge pressures, dynamic loads, and to recommend mitigations to reduce transient pressures and loads. The results showed that pressures could be reduced by increasing the pipe size of few segments or adding expansion loops. The most sensitive parameter for transient pressure was pipe size and that for dynamic load was valve closure time. It is recommended that this kind of study be performed in the early phase of engineering design, so that any identified overpressures can be mitigated with simple, cost effective options such as increasing pipe size, altering valve closure times, and adding expansion loops.


Author(s):  
Y.P. Manshin ◽  
◽  
E.Yu. Manshina ◽  

The article considers an algorithm for analyzing the results of field strain-measurement studies of machine structures, which allows obtaining data for the modernization of elements in the form of coefficients of parameter changes. As the object of application of the method, the design element of the header was selected, which had failures due to insufficient endurance under cyclic bending stresses.


2020 ◽  
Vol 86 (7) ◽  
pp. 65-71
Author(s):  
I. V. Gadolina ◽  
R. I. Zainetdinov ◽  
T. P. Gryzlova ◽  
I. M. Petrova

A method has been developed for converting a discrete sequence of extrema into a continuous process. The relevancy of the problem is attributed to the necessity of an approximate estimation of spectral density in in testing materials and structures under random (irregular) loading. A great bulk of available experimental data thus can be used in development and validation of calculation methods for assessing durability in the multi-cycle region. Postulating the continuity of random stress processes and their first derivative we propose to connect piecewise the available starting points (namely, the extrema of the random process) with half-cosine functions under the condition of compatibility at the points of extrema. A distinctive feature of the method is the provision of 100% coincidence of the values and sequences of extrema in the initial discrete and simulated continuous processes. The issue of choosing the magnitude of half-periods for these half-cosine functions is addressed on the basis of information obtained from the analysis of real stress records in the form of a regression equation linking half-periods and half-ranges for some realizations of the random process for transport vehicles. The regression dependences of the half-periods and semi-ranges of bending stresses (part of a railway train) and torsion (torsion shaft of a tracked vehicle) are shown as an example. An analysis of the correlation of two random variables (half-periods and half-ranges) according to empirical data has shown that the correlation exists and is significant for the observed number of points thus providing the basis for using the regression formula for an approximate choice of the frequency composition of the process. Moreover, the lower restrictions are imposed on the number of points (at least 5) in the half-period. Since the extrema of the initial and simulated processes coincide in accordance with the principle of the proposed simulation, the distribution of the amplitudes of complete cycles, as well as the results of schematization by other known methods are identical, therefore, the estimate of the durability by hypotheses based on a linear one is also identical. The validation of the method consists in consideration of the chain: 1) the initial continuous process; 2) the discrete process of extrema; 3) simulated continuous process according to the proposed method. Auxiliary distributions, such as distributions of maximum, minimum and average cycle values also coincide in accordance with the principle of modeling. The method is proposed to be used in analysis of the comparability of two competing approaches in assessing the loading in the problems of assessing durability, namely: those that use cycle-counting methods and methods based on the spectral density of processes. Since the spectral densities of the processes can differ due to an approximate choice of the frequencies on the basis of a regression formula, methods on their base can give estimates of the durability that differ from those obtained by schematization methods. To study this phenomenon, further computational experiments are required. The developed method can be very useful for the experiment design.


Author(s):  
Ruslan V. Aginey ◽  
◽  
Rustem R. Islamov ◽  
Alexey A. Firstov ◽  
Elmira A. Mamedova ◽  
...  

Existing methods for estimating the bending stresses of buried pipeline section based on the survey data for the depth of the axis of the pipeline from the ground surface are characterized by a large error between the real values of the bending stress and the values of the bending stress obtained from the calculation results based on the survey data. The purpose of this study is to improve the methodology for calculating the bending stresses of buried pipeline section based on the results of determining the depth of the axis of the pipeline from the ground surface, taking into account the design features of the pipeline and the used search equipment. Mathematical models are proposed that allow for the set value of the maximum error in determining bending stresses for a particular pipeline to choose the optimal measurement step before the survey, which will allow to reduce the error. Explanations are given on the choice of the maximum step of the study based on the strength characteristics of the pipeline. A calculation is provided that confirms the adequacy of the developed mathematical models and the possibility of their application in practice.


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