Distributed Transfer Function Analysis of Complex Distributed Parameter Systems

1994 ◽  
Vol 61 (1) ◽  
pp. 84-92 ◽  
Author(s):  
B. Yang
Keyword(s):  
Closed Form ◽  
Transfer Functions ◽  
Distributed Parameter Systems ◽  
Force Balance ◽  
Distributed Parameter ◽  
Distributed Parameter System ◽  
Parameter System ◽  
Lumped Parameter ◽  
Space Technique ◽  
Transfer Function Analysis

This paper presents a new analytical and numerical method for modeling and synthesis of complex distributed parameter systems that are multiple continua combined with lumped parameter systems. In the analysis, the complex distributed parameter system is first divided into a number of subsystems; the distributed transfer functions of each subsystem are determined in exact and closed form by a state space technique. The complex distributed parameter system is then assembled by imposing displacement compatibility and force balance at the nodes where the subsystems are interconnected. With the distributed transfer functions and the transfer functions of the constraints and lumped parameter systems, exact, closed-form formulation is obtained for various dynamics and vibration problems. The method does not require a knowledge of system eigensolutions, and is valid for non-self-adjoint systems with inhomogeneous boundary conditions. In addition, the proposed method is convenient in computer coding and suitable for computerized symbolic manipulation.

Distributed Transfer Function Synthesis of Complex Flexible Systems

1993 ◽  
Author(s):  
Bingen Yang
Keyword(s):  
Closed Form ◽  
Transfer Functions ◽  
Force Balance ◽  
Flexible Systems ◽  
Adjoint Systems ◽  
Lumped Parameter ◽  
Space Technique ◽  
Vibration Problems ◽  
Distributed Transfer Function ◽  
Dynamics And Vibration

Abstract This paper presents a new analytical and numerical method for modeling and synthesis of complex flexible systems (CFS) that are multiple continua combined with lumped parameter systems. In the analysis, the CFS is first divided into a number of subsystems; the distributed transfer functions of each subsystem are determined in exact and closed form by a state space technique. The CFS is then assembled by imposing displacement compatibility and force balance at the nodes where the subsystems are interconnected. With the distributed transfer functions and the transfer functions of the constraints and lumped parameter systems, exact, closed-form formulation is obtained for various dynamics and vibration problems. The method does not require a knowledge of system eigensolutions, and is valid for non-self-adjoint systems with inhomogeneous boundary conditions. In addition, the proposed method is convenient in computer coding, and suitable for computerized symbolic manipulation.

scholarly journals Reliability index of distributed parameter system

2000 ◽  
Vol 22 (4) ◽  
pp. 248-256
Author(s):  
Nguyen Van Pho
Keyword(s):  
Reliability Index ◽  
Distributed Parameter Systems ◽  
Distributed Parameter ◽  
Distributed Parameter System ◽  
Parameter System ◽  
Dependent Probability

In this paper, a method to determine the reliability index of distributed parameter systems by using a method of approximation the multi-condition dependent probability by a one-condition dependent probability is proposed. Therefore, the problem of the reliability index of distributed parameter system is transformed into the defined case. To illustrate for the method, the reliability index of air tube is considered.

Numerical Study of One Dimensional Pipe Flow Under Pump Cavitation Surge

2017 ◽  
Author(s):  
Motohiko Nohmi ◽  
Satoshi Yamazaki ◽  
Shusaku Kagawa ◽  
Byungjin An ◽  
Donghyuk Kang ◽  
...  
Keyword(s):  
Pipe Flow ◽  
Numerical Study ◽  
Equations Of Motion ◽  
Gain Factor ◽  
Distributed Parameter ◽  
Piping System ◽  
Distributed Parameter System ◽  
Parameter System ◽  
Lumped Parameter ◽  
System Calculation

Pump cavitation surge is highly coupled phenomenon with unsteady cavitation inside a pump and system dynamics of the pipe flow surrounding the pump. The piping system flow dynamics can be calculated under two kinds of assumptions; lumped parameter system (LPS) and distributed parameter system (DPS). In the lumped parameter system, the equations of motion of water columns inside pipes are calculated upstream and downstream of the pump. In the distributed parameter system, wave propagations along the pipes are calculated. In this study a simple system that consists of an upstream tank, an upstream pipe, a pump with cavitation, a downstream pipe and a downstream tank is analyzed by using two methods. Cavitation inside the pump is featured in the lumped parameters of cavitation compliance and mass flow gain factor. In the lumped parameter system case, equations of motion are calculated numerically by Runge-Kutta methods. In the distributed parameter system case, wave propagations are calculated by Method of Characteristics. From the comparison of two method results, appropriate criterion for practical piping system calculation is discussed.

scholarly journals A general transfer function representation for a class of hyperbolic distributed parameter systems

2013 ◽  
Vol 23 (2) ◽  
pp. 291-307 ◽  
Author(s):  
Krzysztof Bartecki
Keyword(s):  
Transfer Function ◽  
Transfer Functions ◽  
Function Analysis ◽  
Semigroup Theory ◽  
Distributed Parameter Systems ◽  
Hyperbolic Partial Differential Equations ◽  
Distributed Parameter ◽  
Function Representation ◽  
Tube Heat Exchanger ◽  
Transfer Function Analysis

Results of transfer function analysis for a class of distributed parameter systems described by dissipative hyperbolic partial differential equations defined on a one-dimensional spatial domain are presented. For the case of two boundary inputs, the closed-form expressions for the individual elements of the 2×2 transfer function matrix are derived both in the exponential and in the hyperbolic form, based on the decoupled canonical representation of the system. Some important properties of the transfer functions considered are pointed out based on the existing results of semigroup theory. The influence of the location of the boundary inputs on the transfer function representation is demonstrated. The pole-zero as well as frequency response analyses are also performed. The discussion is illustrated with a practical example of a shell and tube heat exchanger operating in parallel- and countercurrent-flow modes.

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