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杆、梁离散和连续系统的振动定性性质的统一论证

王其申, 王大钧

王其申, 王大钧. 杆、梁离散和连续系统的振动定性性质的统一论证[J]. 力学学报, 1997, 29(1): 99-102. DOI: 10.6052/0459-1879-1997-1-1995-201
引用本文: 王其申, 王大钧. 杆、梁离散和连续系统的振动定性性质的统一论证[J]. 力学学报, 1997, 29(1): 99-102. DOI: 10.6052/0459-1879-1997-1-1995-201
UNITED PROOF FOR QUALITATIVE PROPERTIES OF DISCRETE AND CONTINUOUS SYSTEMS OF VIBRATING ROD AND BEAM[J]. Chinese Journal of Theoretical and Applied Mechanics, 1997, 29(1): 99-102. DOI: 10.6052/0459-1879-1997-1-1995-201
Citation: UNITED PROOF FOR QUALITATIVE PROPERTIES OF DISCRETE AND CONTINUOUS SYSTEMS OF VIBRATING ROD AND BEAM[J]. Chinese Journal of Theoretical and Applied Mechanics, 1997, 29(1): 99-102. DOI: 10.6052/0459-1879-1997-1-1995-201
王其申, 王大钧. 杆、梁离散和连续系统的振动定性性质的统一论证[J]. 力学学报, 1997, 29(1): 99-102. CSTR: 32045.14.0459-1879-1997-1-1995-201
引用本文: 王其申, 王大钧. 杆、梁离散和连续系统的振动定性性质的统一论证[J]. 力学学报, 1997, 29(1): 99-102. CSTR: 32045.14.0459-1879-1997-1-1995-201
UNITED PROOF FOR QUALITATIVE PROPERTIES OF DISCRETE AND CONTINUOUS SYSTEMS OF VIBRATING ROD AND BEAM[J]. Chinese Journal of Theoretical and Applied Mechanics, 1997, 29(1): 99-102. CSTR: 32045.14.0459-1879-1997-1-1995-201
Citation: UNITED PROOF FOR QUALITATIVE PROPERTIES OF DISCRETE AND CONTINUOUS SYSTEMS OF VIBRATING ROD AND BEAM[J]. Chinese Journal of Theoretical and Applied Mechanics, 1997, 29(1): 99-102. CSTR: 32045.14.0459-1879-1997-1-1995-201

杆、梁离散和连续系统的振动定性性质的统一论证

UNITED PROOF FOR QUALITATIVE PROPERTIES OF DISCRETE AND CONTINUOUS SYSTEMS OF VIBRATING ROD AND BEAM

  • 摘要: 采用极限过渡法,从杆、梁差分离散系统刚度矩阵的符号振荡性导出相应系统格林函数的振荡性,从而统一论证了离散与连续系统的固有频率和模态的定性性质
    Abstract: Applying a method of limit transition, we have come to the oscillatory properties of Green's functions of continuous systems from the sign oscillatory properties of stiffness matrices of discrete systems for a vibrating rod or beam.
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出版历程
  • 刊出日期:  1997-01-24

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