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EQUATIONS OF MOTION AND BOUNDARY CONDITIONS OF INCREMENTAL RATE TYPE FOR POLAR CONTINUA 被引量:1
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作者 戴天民 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2000年第3期249-254,共6页
The relations between various couple stress tensors and their change rates are derived. The equations of angular momentum and the corresponding boundary conditions of incremental rate type are presented. Thus the equa... The relations between various couple stress tensors and their change rates are derived. The equations of angular momentum and the corresponding boundary conditions of incremental rate type are presented. Thus the equations of motion and the boundary conditions of incremental rate type of Cauchy form, Piola form and Kirchhoff from for polar continua are obtained in combination of these results with those for classical continuum mechanics derived by kuang Zhenbang. 展开更多
关键词 equations of motion boundary conditions incremental rates polar continua
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RENEWAL OF BASIC LAWS AND PRINCIPLES FOR POLAR CONTINUUM THEORIES(Ⅶ)—INCREMENTAL RATE TYPE
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作者 戴天民 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2003年第12期1375-1380,共6页
The purpose is to establish the rather complete equations of motion, boundary conditions and equation of energy rate of incremental rate type for micropolar continua. To this end the rather complete definitions for ra... The purpose is to establish the rather complete equations of motion, boundary conditions and equation of energy rate of incremental rate type for micropolar continua. To this end the rather complete definitions for rates of deformation gradient and its inverse are made. The new relations between various stress and couple stress rate tensors are derived. Finally, the coupled equations of motion, boundary conditions and equation of energy rate of incremental rate type for continuum mechanics are obtained as a special case. 展开更多
关键词 coupled equation of motion bundary condition energy rate incremental rate type micropolar continua
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NEW PRINCIPLES OF POWER AND ENERGY RATE OF INCREMENTAL RATE TYPE FOR GENERALIZED CONTINUUM FIELD THEORIES
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作者 DAI Tian-min(戴天民) 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2001年第12期1383-1389,共7页
The aim of this paper is to establish new principles of power and energy rate of incremental type in generalized continuum mechanics BY combining new principles of virtual velocity and virtual angular velocity as well... The aim of this paper is to establish new principles of power and energy rate of incremental type in generalized continuum mechanics BY combining new principles of virtual velocity and virtual angular velocity as well as of virtual stress anti virtual couple stress with c ross terms of incremental rate type a new principle of power anti energy rate of incremental rate type with cross terms for micropolar continuum field theories is presented and from it all corresponding equations of motion and boundary conditions as well as power and energy rate equations of incremental rate type for micropolar and nonlocal micropolar continua with the help of generalized Piola's theorems in all and without any additional requirement are derived. Complete results for micromorphic continua could be similarly derived. The derived results in the present paper are believed to be new. They could be used to establish corresponding finite element methods of incremental rate type for generalized continuum mechanics. 展开更多
关键词 generalized continua incremental rate type principles of power and energy rate generalized Piola's theorem
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RENEWAL OF BASIC LAWS AND PRINCIPLES FOR POLAR CONTINUUM THEORIES (Ⅷ)—PRINCIPLE OF TOTAL WORK AND ENERGY 被引量:2
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作者 戴天民 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2005年第3期313-318,共6页
Theoretical incompleteness of the existing conservation laws of energy for polar continuum mechanics is further clarified. For completeness, the principles of total work and energy and of total work and energy of incr... Theoretical incompleteness of the existing conservation laws of energy for polar continuum mechanics is further clarified. For completeness, the principles of total work and energy and of total work and energy of incremental rate type are postulated. Via total variations of the former and the latter of them, the principles of virtual displacement and microrotation & stress and couple stress as well as virtual velocity and angular velocity & stress rate and couple stress rate are immediately obtained, respectively. From these principles all balance equations and boundary conditions for micropolar mechanics are naturally and simultaneously deduced. The essential differences between the nontraditional results obtained in this paper and the existing conservation laws of energy are expounded. 展开更多
关键词 micropolar continua total work and energy total virtual work and energy incremental rate type conservation law of energy
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Spatial pattern of paulownia witches' broom and its effects on the growth of Paulownia elongata in Shaanxi Province,China 被引量:5
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作者 LI Jin ZHANG Xing-yao TIAN Cheng-ming 《Forestry Studies in China》 CAS 2009年第1期34-38,共5页
The spatial pattern of paulownia witches' broom was investigated using an Iwao's (m^*-m) model in Shaanxi Province, China. Iwao's (m^*-m) model revealed that spatial pattern of paulownia witches' broom exhib... The spatial pattern of paulownia witches' broom was investigated using an Iwao's (m^*-m) model in Shaanxi Province, China. Iwao's (m^*-m) model revealed that spatial pattern of paulownia witches' broom exhibited a uniform distribution in sample plots. In this model, characteristics of contagiousness coefficient (a) justified the probability of infection by virus-transmission vectors. For tree age less than six, susceptible individuals were aggregated as clusters in the plots and then mutually repelled over age. A preliminary survey of stand volume show that from age five to six, stand volumes of disease grade II showed excessive vegetative growth and returned to normal level between ages ten and 11. Loss rate of volume increment with disease grade II decreased, and then returned to raising trend both at grades III and IV. This phenomenon is possibly caused by an over-compensation effect and by environmental factors. The redundancy of growth hormones in branches, shoots, leaves, buds and roots increased the stem volume of entire trees. 展开更多
关键词 paulownia witches' broom spatial pattern stand volume loss rate of volume increment over-compensation effect
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Experimental Investigation on Combustion Performance of Solid Propellant Subjected to Erosion of Particles with Different Concentrations
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作者 卢明章 赵志博 +1 位作者 何国强 刘佩进 《Defence Technology(防务技术)》 SCIE EI CAS 2011年第2期87-92,共6页
A test device with rectangular channel is developed to study the combustion performance of solid propellant in high temperature particles erosion.The flowfields in this newdevice and a test device with circular channe... A test device with rectangular channel is developed to study the combustion performance of solid propellant in high temperature particles erosion.The flowfields in this newdevice and a test device with circular channels are simulated numerically.The particle erosion experiments in these two devices are carried out under different particle concentrations.The results showthat the test device with rectangular channel can effectively improve the clarity and precision of combustion diagnosis image and can be used for research on combustion performance of solid propellant under lowconcentration particle erosion;the circular channel device has good particle convergent effect,provides high concentration particle erosion,and can be used for research on the combustion performance of solid propellant under high concentration particle erosion.The experiment data indicates that the propellant burning rate does not change obviously in lower particle concentration;the propellant with lower static burning rate increases remarkably under particle erosion,while the propellant with high static burning rate is not sensitive to the particle erosion. 展开更多
关键词 propulsion system of aviation &aerospace solid propellant particle erosion combustion performance maximum burning rate increment ratio
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Study on Multi-effect Time Parameters of Ergonomic Validity Index in Low-carbon Residential Kitchen
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作者 Jun Ji Hong Jin 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2014年第5期52-58,共7页
In the study on functional low-carbon ergonomic validity in buildings,ergonomic validity is different from resource validity which is easy for quantitative analysis. To eliminate the complexity and uncertainty impacts... In the study on functional low-carbon ergonomic validity in buildings,ergonomic validity is different from resource validity which is easy for quantitative analysis. To eliminate the complexity and uncertainty impacts of human factors on quantitative study,it proposes a method of building a parameter of ergonomic validity—multi-effect time by using cardiotachometer to record heart rate change,being used to evaluate the functional low-carbon ergonomic validity targeting at the ontological characteristics of kitchen. This method is used to determine the physical consumption intensity( multi-effect) through heart rate incremental relation based on the principles of physiology and ergonomics,and to confirm the ergonomic validity of environmental factors by the time to complete standard work as well as multi-effect quantitative analysis. The test results show that,under the kitchen operating conditions,the multi-effect( ME) can properly reflect the real-time status of the operator and is easily operated; the parameters obtained are not significantly related to the physiological status of the operator,and multi-effect time( MT) is sensitive to the physical consumption brought about to the operator due to kitchen environmental factors; thus,it can be taken as an objective index,which is simple and easy to operate in residential kitchen functional low-carbon evaluation. 展开更多
关键词 functional low-carbon human factors ergonomic validity index basal heart rate increment ratio multi-effect time of kitchen work
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Optimal Capacity Planning for Converter Stations in Sending-end MT-HVDC Systems Considering Uncertainties of PV Generation
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作者 Hao Lin Liang Liang +1 位作者 Haiqiong Yi Xiangjun Kong 《Journal of Modern Power Systems and Clean Energy》 2025年第6期2180-2191,共12页
Sending-end multi-terminal high-voltage direct current(MT-HVDC)systems are well-suited for large-scale renewable energy collection and transmission.However,the capacity planning for converter stations(CSs),which is di... Sending-end multi-terminal high-voltage direct current(MT-HVDC)systems are well-suited for large-scale renewable energy collection and transmission.However,the capacity planning for converter stations(CSs),which is directly correlated with their ability to convert renewable energy,remains a critical issue.In this paper,an optimal capacity planning method for CSs is proposed to maximize the converted energy(CE).The proposed method considers the uncertainties of photovoltaic(PV)generation and derives analytical formulas for stochastic CEs.The equal incremental rate(EIR)principle is employed to calculate the optimal capacity planning scheme,and then a general guideline for the capacity planning in stochastic scenarios is presented.Case studies are conducted to validate the effectiveness of the proposed method and the proposed guideline.The results demonstrate that the proposed method converts more renewable energy than the deterministic method. 展开更多
关键词 Optimal capacity planning converter station(CS) multi-terminal high-voltage direct current(MT-HVDC) equal incremental rate(EIR) renewable energy uncertainty
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