【弹簧】碟形弹簧内锥角数值计算Matlab实现

​✅作者简介热爱科研的Matlab仿真开发者擅长毕业设计辅导、数学建模、数据处理、程序设计科研仿真。完整代码获取 定制创新 论文复现点击Matlab科研工作室 关注我领取海量matlab电子书和数学建模资料个人信条做科研博学之、审问之、慎思之、明辨之、笃行之是为博学慎思明辨笃行。 内容介绍一、引言碟形弹簧作为一种重要的弹性元件因其具有高承载能力、良好的缓冲吸振性能以及紧凑的结构在机械工程领域得到广泛应用。碟形弹簧的内锥角是影响其力学性能的关键参数之一精确计算内锥角对于碟形弹簧的设计、制造和性能优化至关重要。本文将详细探讨碟形弹簧内锥角的数值计算方法。二、碟形弹簧基本结构与力学原理一结构特点碟形弹簧通常呈截顶圆锥状由薄钢板或钢带经冲压、淬火和回火等工艺制成。其结构参数包括外径 D、内径 d、厚度 t、内锥高度 h0 以及内锥角 α 等。这些参数相互关联共同决定了碟形弹簧的力学性能。二力学原理碟形弹簧在承受轴向载荷 F 时通过自身的变形来储存和释放能量。其力学性能主要通过弹性变形来实现变形过程涉及到材料的弹性力学行为。碟形弹簧的载荷 - 变形关系是非线性的内锥角的大小对这种非线性关系有显著影响。较小的内锥角会使弹簧在较小变形时提供较大的刚度而较大的内锥角则使弹簧在较大变形范围内保持相对较柔和的刚度特性。三、内锥角与其他参数的关系⛳️ 运行结果 部分代码function [fvals,description,x]setup_features_maxent(x,map)%calculature features for max-ent model fitting%first argument: the vectors to which the feature maps should be supplied%if the first argument is a single integer, then the function generates all%binary vectors {0,1} with that many elements,%%inputs:%x: either a matrix of size N-by-d, where each row is a vector of%data-points (usually binary), or an integer (size(x) [1,1]).%In the latter case, x is interpreted as the dimensionality of a binary%space and fevals will be evaluated at all 2^x points within that space%%map: either integers 1, 2, 3, (first, second, third-order maxent),% or ising (same as 2) or ising_count for ising model with additional%constraints on the total activity count%or a function handle for using user-supplied feature maps%%outputs:%fvals, the calculated features. If map1, then same as x, if map2, this%is a copy of x concatenated with all two-tupels without repetion, if%map3, then this is further concatenated with all three-tupels without%any repetions. (Note that this is NOT what you might want if x is%different from a binary (0,1) repetiation, as I am excluding all the x.^2,%and x.^3 features etc, as they are redundant in this representation!% function adapted from the pop_spike code base% https://bitbucket.org/mackelab/pop_spike[N,d]size(x);if (Nd) (N1);dx;N2^d;x(0:(N-1));xDecToBin(x);% if nargin3 convention-1% x2*x-1;% endendif mean(x(:)0).5xsparse(x);endswitch mapcase 1fvalsx;description[1:d];case {2,ising}pairsnchoosek(1:d,2);description[[1:d; (1:d)*nan],pairs];fvals[x,x(:,pairs(1,:)).*x(:,pairs(2,:))];case 3pairsnchoosek(1:d,2);tripletsnchoosek(1:d,3);description[[1:d; (1:d)*nan;(1:d)*nan],[pairs; pairs(1,:)*nan],triplets];fvals[x,x(:,pairs(1,:)).*x(:,pairs(2,:)),x(:,triplets(1,:)).*x(:,triplets(2,:)).*x(:,triplets(3,:))];case ising_countpairsnchoosek(1:d,2);count_indicatorszeros(N,d);sum_xsum(x,2);nonzerofind(sum_x0);indsub2ind([N,d],nonzero,sum_x(nonzero));count_indicators(ind)1;description[[1:d; (1:d)*nan],pairs,[1:d; (1:d)*nan]];fvals[x,x(:,pairs(1,:)).*x(:,pairs(2,:)),count_indicators];%keyboardcase k_pairwise % same as ising_count, but has feature for K0pairsnchoosek(1:d,2);count_indicatorszeros(N,d1);indsub2ind([N,d1],(1:N),sum(x,2)1);count_indicators(ind)1;description[[1:d; (1:d)*nan],pairs,[0:d; (0:d)*nan]];fvals[x,x(:,pairs(1,:)).*x(:,pairs(2,:)),count_indicators];otherwisefvalsfeval(map,x);descriptioncustom map, no description available;end 参考文献更多免费数学建模和仿真教程关注领取