Dynamics and energy exchanges between a linear oscillator and a nonlinear absorber with local and global potentials

2016 ◽  
Vol 376 ◽  
pp. 33-47 ◽  
Author(s):  
S. Charlemagne ◽  
C.-H. Lamarque ◽  
A. Ture Savadkoohi
Keyword(s):  
Linear Oscillator ◽  
Nonlinear Absorber ◽  
Energy Exchanges

Dynamics of a Linear Oscillator Coupled to a Bistable Light Attachment: Numerical Study

2014 ◽  
Vol 10 (1) ◽  
Author(s):  
Francesco Romeo ◽  
Grigori Sigalov ◽  
Lawrence A. Bergman ◽  
Alex F. Vakakis
Keyword(s):  
Energy Transfer ◽  
Numerical Study ◽  
Energy Levels ◽  
High Energy ◽  
Linear Oscillator ◽  
Efficient Energy Transfer ◽  
Strongly Nonlinear ◽  
Numerical Studies ◽  
Nonlinear Targeted Energy Transfer ◽  
Energy Exchanges

The conservative and dissipative dynamics of a 2DOF, system composed of a grounded linear oscillator coupled to a lightweight mass by means of both strongly nonlinear and linear negative stiffnesses is investigated. Numerical studies are presented aiming to assess the influence of this combined coupling on the transient dynamics. In particular, these studies are focused on passive nonlinear targeted energy transfer from the impulsively excited linear oscillator to the nonlinear bistable lightweight attachment. It is shown that the main feature of the proposed configuration is the ability of assuring broadband efficient energy transfer over a broad range of input energy. Due to the bistability of the attachment, such favorable behavior is triggered by different nonlinear dynamic mechanisms depending on the energy level. For high energy levels, strongly modulated oscillations occur, and the dynamics is governed by fundamental (1:1) and superharmonic (1:3) resonances; for low energy levels, chaotic cross-well oscillations of the nonlinear attachment as well as subharmonic resonances lead to strong energy exchanges between the two oscillators. The results reported in this work indicate that properly designed attachments of this type can be efficient absorbers and dissipators of impulsively induced vibration energy.

Study of the Relationship Between Parameters and Effectiveness of Essential Nonlinear Absorber

2009 ◽  
Author(s):  
Tang Simi ◽  
Shijian Zhu ◽  
Jingjun Lou
Keyword(s):  
Harmonic Balance ◽  
Linear Oscillator ◽  
Periodic Excitation ◽  
Parameter Region ◽  
Modulation Equation ◽  
Nonlinear Absorber ◽  
Balance Technique ◽  
The Relationship ◽  
Two Degree Of Freedom ◽  
Harmonic Balance Technique

The two degree-of-freedom (dof) system consisting of a linear oscillator coupled with a essential nonlinear absorber is studied, which is under periodic excitation. Applying harmonic balance technique, we derive a set of modulation equation that is directly amenable to characteristic of amplitude-frequency of the system. Conclusion can be summarized: With some parameters, the absorber performs effectively over a broad range of frequency; but the amplitude of linear oscillator may jump suddenly for the change of parameters. The effectiveness of absorber is also affected by the forcing, that is different from classical absorber. The relationship between parameters and effectiveness of essential nonlinear absorber are determined and the parameter region seems to comply with some rules.

Processes and Responses

2017 ◽  
Author(s):  
Jochen Rau
Keyword(s):  
Heat Engine ◽  
Cyclic Process ◽  
Free Enthalpy ◽  
Initial State ◽  
Thermodynamic Potentials ◽  
Grand Potential ◽  
Laws Of Thermodynamics ◽  
Cyclic Processes ◽  
Energy Exchanges ◽  
Thermodynamic Processes

Thermodynamic processes involve energy exchanges in the forms of work, heat, or particles. Such exchanges might be reversible or irreversible, and they might be controlled by barriers or reservoirs. A cyclic process takes a system through several states and eventually back to its initial state; it may convert heat into work (engine) or vice versa (heat pump). This chapter defines work and heat mathematically and investigates their respective properties, in particular their impact on entropy. It discusses the roles of barriers and reservoirs and introduces cyclic processes. Basic constraints imposed by the laws of thermodynamics are considered, in particular on the efficiency of a heat engine. The chapter also introduces the thermodynamic potentials: free energy, enthalpy, free enthalpy, and grand potential. These are used to describe energy exchanges and equilibrium in the presence of reservoirs. Finally, this chapter considers thermodynamic coefficients which characterize the response of a system to heating, compression, and other external actions.

scholarly journals Dynamics of the Ice-Crushing Process

1988 ◽  
Vol 34 (118) ◽  
pp. 318-326 ◽  
Author(s):  
Ian J. Jordaan ◽  
Garry W. Timco
Keyword(s):  
Ice Sheet ◽  
Load Cycle ◽  
Stored Energy ◽  
Indentation Process ◽  
Ice Particles ◽  
Mode Of Failure ◽  
Indentation Tests ◽  
Energy Exchanges ◽  
The Mean ◽  
Crushed Ice

Abstract During fast indentation tests on ice sheets at constant rates, crushing is commonly observed at appropriate combinations of speed and aspect ratio. An analysis is made of this mode of failure, using as a basis a recently conducted test on an ice sheet under controlled conditions. The variation of load with time is given special attention, and cyclic variation of load is associated with periodic crushing (pulverization) events, followed by clearing of the crushed ice particles. An analysis of the clearing process is summarized in the paper, treating the crushed ice as a viscous material. A detailed analysis of the energy exchanges during the indentation process is given. Elastic variations of stored energy in the indenter and in the ice sheet are calculated; these are relatively minor. The dissipation of energy during a typical load cycle (3 mm movement during 0.05 s) is about 8 J. The energy required to create surfaces of the crushed ice particles is small (0.006 J), as is the work of crushing based on mechanical testing (0.09 J). It is concluded that the process of viscous extrusion of crushed ice is the main seat of energy dissipation, basically as a frictional process. A relationship for the mean thickness of the crushed ice layer is developed, based on energy-balance considerations.

scholarly journals A Modelling Framework for the Conceptual Design of Low-Emission Eco-Industrial Parks in the Circular Economy: A Case for Algae-Centered Business Consortia

Water ◽  
2020 ◽  
Vol 13 (1) ◽  
pp. 69
Author(s):  
Aldric S. Tumilar ◽  
Dia Milani ◽  
Zachary Cohn ◽  
Nick Florin ◽  
Ali Abbas
Keyword(s):  
Circular Economy ◽  
Carbon Capture ◽  
Fossil Fuel ◽  
Production Systems ◽  
Flow Analysis ◽  
Biofuel Production ◽  
Industrial Symbiosis ◽  
Modelling Framework ◽  
Low Emission ◽  
Energy Exchanges

This article describes a unique industrial symbiosis employing an algae cultivation unit (ACU) at the core of a novel eco-industrial park (EIP) integrating fossil-fuel fired power generation, carbon capture, biofuel production, aquaculture, and wastewater treatment. A new modelling framework capable of designing and evaluating materials and energy exchanges within an industrial eco-system is introduced. In this scalable model, an algorithm was developed to balance the material and energy exchanges and determine the optimal inputs and outputs based on the industrial symbiosis objectives and participating industries. Optimizing the functionality of the ACU not only achieved a substantial emission reduction, but also boosted aquaculture, biofuel, and other chemical productions. In a power-boosting scenario (PBS), by matching a 660 MW fossil fuel-fired power plant with an equivalent solar field in the presence of ACU, fish-producing aquaculture and biofuel industries, the net CO2 emissions were cut by 60% with the added benefit of producing 39 m3 biodiesel, 6.7 m3 bioethanol, 0.14 m3 methanol, and 19.55 tons of fish products annually. Significantly, this article shows the potential of this new flexible modelling framework for integrated materials and energy flow analysis. This integration is an important pathway for evaluating energy technology transitions towards future low-emission production systems, as required for a circular economy.

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