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A note on lumped parameter modeling
Mechanics Research Communications, 2021Abstract This brief note examines the lumped dynamic modeling of two simple structural systems: 3D-printed cantilevers, and circular aluminum panels. In each case a set of stiffness and natural frequency measurements are made based on simple experiments, with a view to examining effective mass, and a comparison is made with the basic theory.
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Lumped Parameter Model for Stability Analysis
Journal of the Structural Division, 1973The problem of column instability due to axial compressive loading is treated frequently. For most simple cases an exact analytical solution is possible. However, a column with in-span conditions, such as varying axial forces, changing cross-sectional properties, multiple supports, or foundations, is quite complex and requires a numerical technique.
Walter D. Pilkey, Kevin J. O'Connor
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Elements of Lumped Parameter Models
2014In modeling systems for dynamic analysis, the modeler’s goal is to determine a differential equation that adequately describes the system behavior without introducing unnecessary complication. A successful modeler identifies the critical elements of a system and then incorporates them into a lumped parameter model. For a mechanical example, consider an
Matthew A. Davies, Tony L. Schmitz
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Lumped-parameter model for in vivo cochlear stimulation
IEEE Transactions on Biomedical Engineering, 1993This paper presents a lumped-parameter model that stimulates the in vivo electrical properties of a guinea pig cochlea implanted with a multielectrode stimulating array. A basic model of the low-frequency electroanatomy in a normally functioning guinea pig cochlea is developed by adding critical membrane capacitances to Strelioff's resistive network ...
M F, Suesserman, F A, Spelman
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MEMS Modelling: Distributed versus Lumped Parameter Models
2019The miniaturisation of electromechanical systems is impacting our society as deeply as did the mass production of electronic systems in the last few decades. However, only in more recent times the design of MEMS has been approached in a systematic way, by employing methods and algorithms of automated optimal design (AOD).
Paolo Di Barba, Slawomir Wiak
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2013
A review of the method used to calculate circuit component values for three-phase power lines leads to the identification of the first step; the derivation of a formula relating the capacitance of an isolated conductor to its length and radius. This formula can be regarded as a basic building block from which the capacitive parameters of multi ...
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A review of the method used to calculate circuit component values for three-phase power lines leads to the identification of the first step; the derivation of a formula relating the capacitance of an isolated conductor to its length and radius. This formula can be regarded as a basic building block from which the capacitive parameters of multi ...
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Lumped Parameter Whole Body Circulation Modelling
2017In this chapter we introduce methodologies for modeling whole-body cardiovascular dynamics. Lumped parameter modeling techniques are employed to model both open-loop and closed-loop dynamics. The main constituents of the model are the pulmonary arterial and venous circulation, the systemic arterial and venous circulation, and the four chambers of the ...
Viorel Mihalef +3 more
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2018
This chapter uses the recipe presented in Chap. 2 to develop models for different systems related to chemical engineering. The examples presented in this chapter deal with lumped-parameter problems, in which spacial variations in a physical quantity of interest are ignored. As shown in Fig.
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This chapter uses the recipe presented in Chap. 2 to develop models for different systems related to chemical engineering. The examples presented in this chapter deal with lumped-parameter problems, in which spacial variations in a physical quantity of interest are ignored. As shown in Fig.
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Lumped-parameter modeling of vented-box loudspeakers
Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334), 2000A lumped parameter model for a vented-box loudspeaker was developed from physical principles. This model was oriented for parametric identification techniques currently available in the literature. The trend of the model data compared well with that of real data from an example loudspeaker in the low frequency region (10 Hz to 100 Hz).
K.M. Al-Ai, A.K. Packard, B.H. Tonguel
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A lumped-parameter model for infiltration
Journal of Hydrology, 1982Abstract A dynamical lumped-parameter model for vertical infiltration is presented. The model is based on a rough spatial discretization of the partial differential equation of water movement in unsaturated soil. The aim of the model is to describe the infiltration in a catchment under highly variable rainfall rates. The ponding is connected with the
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