力学英语Microsoft Office Word 文档.docx

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1、一般力学类分析力学analyticalmechanics拉格朗日乘子Lagrangemultiplier拉格朗日[量]Lagrangian拉格朗日括号Lagrangebracket循环坐标cycliccoordinate循环积分cyclicintegral哈密顿[量]Hamiltonian哈密顿函数Hamiltonianfunction正则方程canonicalequation正则摄动canonicalperturbation正则变换canonicaltransformation正则变量canonicalvariable哈密顿原理Hamiltonprinc

2、iple作用量积分actionintegral哈密顿--雅可比方程Hamilton-Jacobiequation作用--角度变量action-anglevariables阿佩尔方程Appellequation劳斯方程Routhequation拉格朗日函数Lagrangianfunction诺特定理Noethertheorem泊松括号poissonbracket边界积分法boundaryintegralmethod并矢dyad运动稳定性stabilityofmotion轨道稳定性orbitalstability李雅普诺夫函数Lyapunovfunction渐

3、近稳定性asymptoticstability结构稳定性structuralstability科研中国SciEi.com久期不稳定性secularinstability弗洛凯定理Floquettheorem倾覆力矩capsizingmoment自由振动freevibration固有振动naturalvibration暂态transientstate环境振动ambientvibration{BANNED}振anti-resonance衰减attenuation库仑阻尼Coulombdamping同相分量in-phasecomponent非同相分量out-of

4、-phasecomponent超调量overshoot参量[激励]振动parametricvibration　模糊振动fuzzyvibration临界转速criticalspeedof rotation阻尼器damper半峰宽度half-peakwidth集总参量系统lumpedparametersystem相平面法phaseplanemethod相轨迹phasetrajectory等倾线法isoclinemethod跳跃现象jumpphenomenon负阻尼negativedamping达芬方程Duffingequation希尔方程Hillequatio

5、nKBM方法KBMmethod,Krylov-Bogoliu- bov-Mitropol'skiimethod马蒂厄方程Mathieuequation平均法averagingmethod组合音调combinationtone解谐detuning耗散函数dissipativefunction硬激励hardexcitation硬弹簧hardspring,hardening spring谐波平衡法harmonicbalancemethod久期项secularterm自激振动self-excitedvibration分界线separatrix亚谐波subharmo

6、nic软弹簧softspring,softening spring软激励softexcitation邓克利公式Dunkerleyformula瑞利定理Rayleightheorem分布参量系统distributedparameter system优势频率dominantfrequency模态分析modalanalysis固有模态naturalmodeofvibration同步synchronization超谐波ultraharmonic范德波尔方程vanderpolequation非同相分量out-of-phasecomponent超调量overshoot

7、参量[激励]振动parametricvibration　模糊振动fuzzyvibration临界转速criticalspeedof rotation阻尼器damper半峰宽度half-peakwidth集总参量系统lumpedparametersystem相平面法phaseplanemethod相轨迹phasetrajectory等倾线法isoclinemethod跳跃现象jumpphenomenon负阻尼negativedamping达芬方程Duffingequation希尔方程HillequationKBM方法KBMmethod,Krylov-Bogo

8、liu- bov-Mitropol'skiimethod马蒂厄方程