1) transient buckling
过渡屈曲
2) thermal post-buckling
热过屈曲
1.
Based on the geometrically nonlinear theory for axially extensible beams, formulations of free vibrations in the vicinity of thermal post-buckling were derived.
基于轴向可伸长梁的几何非线性理论建立了弹性直梁在热过屈曲静态大变形附近自由振动的几何非线性模型。
2.
Based on the Von Kármán s plate theory and Hamilton s principle, the nonlinear vibration near the thermal post-buckling configuration of the heated circular plates with clamped boundary conditions is studied.
基于 Von karman方程和 Hamilton原理 ,研究了周边不可移加热圆形薄板在热过屈曲构形附近的非线性振动 ,并采用打靶法获得了圆板热过屈曲及非线性振动响
3.
In this paper, based on the non-linearly geometric theory for extensible elastic rods, an exact mathematical model of thermal post-buckling behavior of uniformly heated elastic rods with clamped-simply supported ends is derived.
采用打靶法和解析延拓法直接数值求解上述非线性边值问题，获得了杆的热过屈曲状态解，给出了具有不同长细比杆的热过屈曲平衡路径。
3) post-buckling
过屈曲
1.
Nonlinear vibration in the vicinity of post-buckling configuration of edge-clamped circular plate under excitation;
激振力作用下周边夹紧圆板过屈曲构形附近的非线性振动
2.
Based on the classical nonlinear plate theory,axisymmetric post-buckling behavior of a functionally graded circular plate under radial compression was investigated.
基于经典非线性板理论,研究了功能梯度圆板在均匀的径向压力作用下的轴对称过屈曲问题。
3.
Based on geometrically non-linear theory for axially extensible rods,an exact mathematical model of post-buckling transverse free vibration of Euler-Bernoulli beams subjected to axial force are developed.
基于轴线可伸长杆的几何非线性理论 ,建立了Euler_Bernoulli梁在轴向载荷作用下过屈曲横向自由振动的精确模型 ,并采用打靶法数值求解了一端可移简支一端固定的Euler_Bernoulli梁在过屈曲前后的小振幅自由振动 ,获得了线性振动的响应。
4) thermal post buckling
热过屈曲
1.
Based on geometric nonlinear theory of axially extensible thin rod, an accurate mathematical model of thermal post buckling behavior of uniformly heated elastic straight rod with fixed clamp at one end and simple support at other end is developed in this paper.
采用打靶法和解析延拓法直接数值求解上述非线性边值问题，获得了杆的热过屈曲状态解，给出了具有不同长细比杆的热过屈曲平衡路径。
5) post buckling
过屈曲
1.
Based on the geometric nonlinear theory of axially extensible elastic rods, the governing equations of post buckling of the rods with variable cross sections and two ends clamped simply supported are established in this paper.
基于轴线可伸长弹性杆的几何非线性大变形理论，建立了一端简支另一端固定变截面直杆的过屈曲控制方程，并应用打靶法直接数值求解相应的强非线性边值问题，获得了数值意义上的精确解。
2.
On the basis of Kirchhoff’s assumption and non linearly geometrical theory of axially extensible elastic rods, the governing equations for post buckling of a clamped simply supported rod with variable cross sections are established in this paper.
在Kirchhoff基本假设下,基于轴线可伸长弹性杆的几何非线性理论,建立了一端简支另一端固定夹紧变截面直杆的过屈曲控制方程,并应用打靶法直接数值求解相应的强非线性边值问题,获得了数值意义上的精确解。
6) thermal post_buckling
热过屈曲
1.
Based on the non_linear geometric theory of axially extensible beams and by using the shooting method,the thermal post_buckling responses of an elastic beams,with immovably simply supported ends and subjected to a transversely non_uniformly distributed temperature rising,were investigated.
基于轴向可伸长梁的几何非线性理论和打靶法,研究了两端不可移简支弹性梁在横向非均匀分布升温场作用下的热弹性屈曲响应· 着重分析了横向升温变化对热过屈曲变形的影响,给出了相应的特性曲线· 数值结果表明,由于横向温度改变会产生热弯曲内力,因此过屈曲平衡路径与有初始变形梁的过屈曲平衡路径相似·
2.
Based on the non_linear geometric theory of extensible rods, an exact mathematical model of thermal post_buckling behavior of uniformly heated elastic rods with axially immovable ends is developed, in which the arc length s(x) of axial line and the longitudinal displacement u(x) are taken as the basic unknown functions.
基于轴线可伸长细杆的过屈曲变形几何理论,建立了两端轴向不可移的均匀加热直杆热弹性过屈曲行为的精确数学模型· 这是一个包含杆轴线弧长在内的多未知函数的强非线性一阶常微分方程两点边值问题· 采用打靶法和解析延拓法直接数值求解上述非线性边值问题,分别获得了两端横向简支和夹紧杆的热过屈曲状态解,给出了具有不同细长比杆的热过屈曲平衡路
补充资料：伏中热不可过中夜起坐作诗寄五郎
【诗文】：
众星若银砾，老桂卧海底。
中夜热不解，病叟推枕起。
悲虫号草根，孤萤照野水。
树头风急生，喘汗真一洗。
追忆总角初，学古颇自喜。
祝身愿耆老，常恐抱志死。
岂知才术疏，空自凋发齿。
功名永无期，禄不饱妻子。
归耕力又惫，得粟半糠秕。
诗书不可赖，如倚折足几。
大儿逾六十，逐食走千里，路途况艰梗，累月书一纸。
岂不念归省，屡请辄见柅。
幸吾未极衰，汝行姑少止。
【注释】：
【出处】：
众星若银砾，老桂卧海底。
中夜热不解，病叟推枕起。
悲虫号草根，孤萤照野水。
树头风急生，喘汗真一洗。
追忆总角初，学古颇自喜。
祝身愿耆老，常恐抱志死。
岂知才术疏，空自凋发齿。
功名永无期，禄不饱妻子。
归耕力又惫，得粟半糠秕。
诗书不可赖，如倚折足几。
大儿逾六十，逐食走千里，路途况艰梗，累月书一纸。
岂不念归省，屡请辄见柅。
幸吾未极衰，汝行姑少止。
【注释】：
【出处】：
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条