The concept of the structural performance safety index is put forward and its calculation method is derived based on the structural deformation limit state equation.
提出了结构性能安全指数的概念，并以结构的变形极限状态方程为基础得到了结构设计性能安全指数的计算方法和结构性能等级的划分标准。
The calculation method for freedom length of the anchor bar is improved, and the calculation formulae of structural foundation embedded depth and stability limit equilibrium analyses were derived.
改进了锚杆自由段长度的计算方法，推导了结构的基础埋深和稳定性极限平衡分析的计算公式。
Limit the scope of accessibility to the class, assembly, or derived classes, if they can be trusted.
如果可以信任类、程序集或派生类，则限制它们的可访问性的范围。
Taking three-axle vehicle as an example, the calculation formula of parking grade limit of multi-axle vehicle is derived with its influencing factors analyzed.
以三轴汽车为例，推导出多轴汽车的驻车极限坡度计算公式，并对其影响因素进行分析。
The limit load calculation of welding piping tees under the action of the in plane bending moment was derived based on the limit analysis.
基于极限分析的观点，推导了工业中焊制三通在面内弯矩作用下的极限载荷估算式。
In the weak coupling limit the lowest-order correction to the geometric phase is derived analytically and the general case is calculated numerically.
文中推导并得到了在弱耦合极限下几何相位的最低阶修正的解析解及一般情况下的数值解。
The simplified method has been adopted to confirm the limit frequency of limit circle of phase-lock control loop. The general expression of the capture band has been derived.
采用简化的方法确定锁相回路的极限环频率极限，推导出捕捉带的一般表达式；
Finally, a synthetic expression for sequential test calculation is derived, from which OC, ETT and confidence limit on the MTBF can be calculated.
最后导出序贯试验计算的综合表达式，用它可以计算oc、ETT和MTBF的置信限。
Methods Based on central limit theorem and continuity correction principal , the formula of once approximate method and its continuity correction formula were derived.
方法根据中心极限定理和连续性校正原理，给出一次近似法和校正一次近似法计算总体率可信区间的公式。
Based on the demands of two limit states, the design control equations of cross section for prestressed concrete beam are derived and the direct design method is presented.
根据两类极限状态的基本要求，建立了预应力混凝土梁截面设计的控制方程，提出了直接设计方法。
The limit conditions for the end voltage of the induction machine are derived, according to the asymmetric condition of the machine stator winding.
考虑感应电机定子绕组接线的不对称情况，推导出电机端电压的约束条件。
The calculation formulae of initial crack and limit strength are derived. The foundation equation of harm mechanics of steel fiber concrete is given here.
不仅推出了初裂强度、极限强度的计算公式，而且还给出了钢纤维混凝土的损伤本构方程。
At last, a formula presenting the relation of liquid plastic limit of organic soil is derived.
最后，给出有机质土的液塑限关系推导公式。
The paper widely discusses the limit of feasibility in titrimetry and has derived the general criterion formula of the limit of feasibility in titrimetry by extent of reaction at equilibrium.
本文广义地讨论了滴定分析的可行性界限，并借助平衡反应进度概念导出了滴定分析可行性界限的普适判别式。
The relative formulations between limit loads (both axial force and internal pressure ) acting on it are derived while the whole thick-walled tube is led to the yielded state.
当整个厚壁圆筒达到屈服状态时，推导了在内压力和轴向力联合作用下的厚壁圆筒的塑性极限载荷表达式。
The paper introduces the property theorem about roots of polynomial and the derivate limit theorem, by which we can study the derived number of a break point of piecewise function.
介绍了用多项式根的性质与导数极限定理求分段函数在分界点的导数的简单方法。
Comprising the finite time thermodynamics, nonequilibrium statistical theory and exergeocnomics, the maximum exergeoeconomic profit and performance limit are derived in the article.
将有限时间热力学、非平衡量子统计理论和火用经济学相结合，导出了量子斯特林制冷机的最大利润率以及对应的性能界限。
Limit pump diameter and percentage of submergence are derived theoretically. Trial and error method is used to calculate the rational percentage of submergence and pump setting depth.
从理论上分析导出了极限泵径和极限沉没度，并引用小泵深抽技术采用试算法确定了合理的沉没度和泵挂深度。
The limit load formulae of single-edge deeply notched plates with round ends subjected to pure bend moment and tensile load under plane stress condition have been derived.
推导了平面应力条件下单边圆形底部深缺口板条受纯弯曲和拉伸载荷作用的极限载荷公式。
Based on the limit analysis viewpoint, a formula that could be used to estimate the in plane limit moment of welded branch pipe Tee was derived in this paper.
基于极限分析的观点，推导了工业中焊制管道三通在面内弯矩工况下的极限载荷估算式。
Based upon modification of the normal stresses over the slip surface, the explicit limit equilibrium solution was derived for the 3d safety factor of asymmetric and rotational slopes.
基于滑面正应力修正模式，推导出旋转非对称边坡三维极限平衡安全系数显式解答。
Finally, a synthetic expression for sequential test calculation is derived, from which OC, ETT and confidence limit on the MTBF ca...
最后导出序贯试验计算的综合表达式，用它可以计算oc、ETT和MTBF的置信限。
Based on the limit analysis viewpoint, a formula that could be used to estimate the out-of-plane limit moment of welded branch pipe tee was derived in this paper.
基于极限分析的观点，推导出面外弯矩作用下焊制三通的极限载荷估算公式。
It is researched that the ultimate flexural capacity of external prestressed composite steel-concrete beams in ultimate limit state of carrying capacity, and the relevant formula are derived.
研究了体外预应力钢-混凝土组合梁在承载能力极限状态下的抗弯承载能力，提出了相应的计算公式。
Simple explicit expressions for calculating the limit dimensions to avoid undercutting on the tooth profile of the small rotor in cycloid rotor pump are derived first time in this paper.
首次通过计算并控制摆线转子泵小转子廓线外凸部分最大曲率半径的方法来避免小转子廓线根切。
With limit equilibrium method, the factor of safety can be readily derived, but its precision is limited due to over-assumptions.
极限平衡法计算安全系数概念明确、过程简单，但假设过多，精度又受到限制。
Firstly part of quadratic term of Taylor series is chosen; a low-dimension surface is used to approximate limit state surface; and the modified reliability formula is derived.
首次选取泰勒级数的部分二次项，用一个距原点最近点处拟合的超低维曲面近似极限状态面。
Also the Mohr -coulomb theory of the transfer coefficient reduction method is derived based on thrust calculation and the rigid body limit equilibrium separately.
同时也分别从推力计算和刚体极限平衡条件推导了基于摩尔-库仑理论的传递系数折减法。
An approximate formula for calculating the ultimate load on a foundation was derived by using the generalized limit equilibrium method.
应用广义极限平衡法获得了地基极限荷载的近似计算公式。
Moreover, a formula for calculating double limit cycle bifurcation is derived. Finally, the complete bifurcation diagrams and phase portraits are obtained.
给出了完整的分支图和各区域上的相轨线结构。结果表明，非对称项引起二重极限环分支和分支曲线的复杂性。
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