119 lines
3.1 KiB
Python
119 lines
3.1 KiB
Python
import sympy
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import math
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# h 悬点高差
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# l_i 悬点档距
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# alpha 导线膨胀系数 1/°C
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# elastic 弹性系数 N/mm2
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# t_e 架线时考虑初伸长的降温，取正值。单位°C
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# lambda_i 计算不平衡张力时导线比载 N/(m.mm)
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# sigma_i 计算不平衡张力时最低点水平应力 单位N/mm2
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# t_i 计算不平衡张力时导线温度 单位°C
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# lambda_m 导线架线时时导线比载 N/(m.mm)
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# sigma_m 导线架线时时最低点水平应力 单位N/mm2
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# t_m 导线架线时时导线温度 单位°C
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def delta_li():
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(
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delta_l_i,
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l_i,
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lambda_i,
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alpha,
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E,
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t_e,
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t_i,
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lambda_m,
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t_m,
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sigma_m,
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sigma_i,
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beta_i
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) = sympy.symbols(
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"""
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delta_l_i,
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l_i,
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lambda_i,
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alpha,
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E,
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t_e,
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t_i,
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lambda_m,
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t_m,
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sigma_m,
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sigma_i,
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beta_i,"""
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)
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# beta_i = sympy.atan(h_i / l_i) # 高差角
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_delta_li = delta_l_i - (
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l_i
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/ ((sympy.cos(beta_i) ** 2) * (1 + (lambda_i * l_i / sigma_i) ** 2 / 8))
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* (
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(l_i * sympy.cos(beta_i)) ** 2
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/ 24
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* ((lambda_m / sigma_m) ** 2 - (lambda_i / sigma_i) ** 2)
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+ ((sigma_i - sigma_m) / E / sympy.cos(beta_i))
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+ alpha * (t_i + t_e - t_m)
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)
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)
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# d_delta_li_sigma_i = sympy.diff(_delta_li, sigma_i)
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return _delta_li
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# area 导线截面 单位mm2
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# sigma_i 第i档内水平应力 单位N/mm2
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# b_i 悬垂串沿线路方向水平偏移距离，沿大号方向为正，反之为负。 单位m
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# stringlen_i 第i基直线塔串长 单位m
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# G_i 第i基直线塔串重 单位N
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# h_i 悬垂串处千中垂位置时，,第 i 基对第 i-1 杆塔上导线悬挂点间的高差大号比小号杆塔悬挂点高者h本身为正值，反之为负值。
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# lambda_i 第i档导线比载 N/(m.mm)
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# h_i1 悬垂串处千中垂位置时，第 i+1 基对第 i 杆塔上导线悬挂点间的高差大号比小号杆塔悬挂点高者h本身为正值，反之为负值。
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# lambda_i1
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def fun_sigma_i1(delta_Li):
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(
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G_i,
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A,
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lambda_i,
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lambda_i1,
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sigma_i,
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h_i,
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h_i1,
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l_i,
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l_i1,
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stringlen_i,
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sigma_i1,
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beta_i,
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beta_i1,
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) = sympy.symbols(
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"""
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G_i,
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A,
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lambda_i,
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lambda_i1,
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sigma_i,
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h_i,
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h_i1,
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l_i,
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l_i1,
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stringlen_i,
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sigma_i1,
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beta_i,
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beta_i1
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"""
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)
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def b_i():
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_t = sympy.Float(0)
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for f in delta_Li:
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_t += f
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return _t
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_sigma_i1 = sigma_i1 - (
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(
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G_i / 2 / A # G_i传入时已考虑导线分裂数
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+ lambda_i * l_i / 2 / sympy.cos(beta_i)
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+ lambda_i1 * l_i1 / 2 / sympy.cos(beta_i1)
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+ sigma_i * h_i / l_i
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)
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+ sigma_i / b_i() * sympy.sqrt(stringlen_i ** 2 - b_i() ** 2)
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) / (sympy.sqrt(stringlen_i ** 2 - b_i() ** 2) / b_i() + h_i1 / l_i1)
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return _sigma_i1
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