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Robot_Arm/docs/2D草稿_力矩平衡与刚度优化设计.svg
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初始提交：机械臂 CadQuery 建模源码、设计文档与 3D 查看器
2026-09-26 18:05:21 +08:00
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<text x="12" y="24" font-size="12" fill="#64748b">图纸代号</text>
<text x="150" y="24" font-size="12" fill="#64748b">图纸版本</text>
<text x="290" y="24" font-size="12" fill="#64748b">专业领域</text>
<text x="40" y="60" font-size="15" font-weight="bold" fill="#0f172a">OPT-01</text>
<text x="180" y="60" font-size="15" font-weight="bold" fill="#0f172a">Ver 1.2</text>
<text x="305" y="60" font-size="14" font-weight="bold" fill="#16a34a">力矩平衡与刚度</text>
<text x="15" y="102" font-size="16" font-weight="bold" fill="#0f172a">小扭矩电机减载与 3D 打印抗弯刚度优化草图</text>
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<!-- Left Header -->
<text x="50" y="60" font-size="20" font-weight="bold" fill="#0f172a">【专项工程优化】电机小扭矩减载平衡与材料刚度抗抖动优化方案</text>
<text x="50" y="85" font-size="13" fill="#475569">针对电机扭矩较小（连续额定 ~2.5 N·m）及塑料刚度不足易变形抖动问题，采用“力臂紧凑化 + 被动拉簧重力抵消 + 闭口中空抗弯箱梁”三大工程优化</text>
<!-- ==================== MODULE 1: PASSIVE SPRING GRAVITY COMPENSATION (被动拉簧重力补偿) ==================== -->
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<text x="20" y="32" font-size="16" font-weight="bold" fill="#0f172a">一、肩关节 (J2) 被动重力补偿拉簧机构（抵消 60% 静态负载）</text>
<!-- Schematic Diagram of Shoulder Pitch with Assist Spring -->
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<!-- Shoulder Pod Base (Fixed) -->
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<text x="70" y="50" font-size="12" fill="#475569" font-weight="bold" text-anchor="middle">肩吊臂固定座</text>
<!-- Spring Anchor Point A (on Shoulder Base) -->
<circle cx="70" cy="90" r="6" fill="#dc2626"/>
<text x="70" y="80" font-size="11" fill="#dc2626" font-weight="bold" text-anchor="middle">固定挂点 A</text>
<!-- J2 Rotation Pivot Point O -->
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<circle cx="120" cy="180" r="5" fill="#0284c7"/>
<text x="120" y="210" font-size="11" fill="#0284c7" font-weight="bold" text-anchor="middle">J2 轴心 O</text>
<!-- Horizontal Arm Link (Humerus, worst case outstretched) -->
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<text x="270" y="172" font-size="12" fill="#ffffff" font-weight="bold" text-anchor="middle">大臂 (平举工况)</text>
<!-- Spring Anchor Point B (on Upper Arm Link) -->
<circle cx="210" cy="180" r="6" fill="#dc2626"/>
<text x="210" y="205" font-size="11" fill="#dc2626" font-weight="bold" text-anchor="middle">动臂挂点 B</text>
<!-- Tension Spring (拉簧) between A and B -->
<!-- Draw zig-zag spring line -->
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fill="none" stroke="#ea580c" stroke-width="3" stroke-linecap="round" stroke-linejoin="round"/>
<text x="120" y="115" font-size="12" fill="#ea580c" font-weight="bold">补偿拉簧 (F_spring)</text>
<!-- Gravity Force Arrow at End -->
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<text x="410" y="240" font-size="12" fill="#e11d48" font-weight="bold">全臂重力 F_gravity</text>
<text x="410" y="258" font-size="11" fill="#e11d48">G = 1.3 kg (~13 N)</text>
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<text x="175" y="155" font-size="11" fill="#e11d48" font-weight="bold">重力矩 T_g ≈ 3.8 N·m</text>
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<text x="40" y="155" font-size="11" fill="#16a34a" font-weight="bold">弹簧反力矩 T_s ≈ -2.5 N·m</text>
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<!-- Explanation Box below -->
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<text x="15" y="24" font-size="12" font-weight="bold" fill="#0f172a">💡 重力补偿工作原理与效果：</text>
<text x="15" y="44" font-size="11.5" fill="#334155">• 当手臂向前平举时（重力矩最大），拉簧被拉伸至最长，力臂与张力均达峰值，产生约 2.5 N·m 向上抬升力矩；</text>
<text x="15" y="64" font-size="11.5" fill="#334155">• 抵消后电机实需输出由 <tspan fill="#e11d48" font-weight="bold">3.8 N·m 骤降至 1.3 N·m</tspan>（降幅达 65%！），远低于电机额定能力（2.5 N·m）；</text>
<text x="15" y="84" font-size="11.5" fill="#334155">• 当手臂垂直自然下垂时，弹簧恢复自然松弛状态，反力矩归零，不阻碍下垂位自锁与零位控制。</text>
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<!-- ==================== MODULE 2: STRUCTURAL RIGIDITY OPTIMIZATION (结构刚度与抗抖动) ==================== -->
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<text x="20" y="32" font-size="16" font-weight="bold" fill="#0f172a">二、材料刚度与抗弯抗变形优化（闭口箱梁 vs 传统单壁截面）</text>
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<text x="15" y="24" font-size="13" font-weight="bold" fill="#e11d48">❌ 普通单壁/开口 C 形截面（易扭曲抖动）</text>
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<text x="120" y="110" font-size="11" fill="#9f1239" text-anchor="middle">开口截面极易发生自由扭转</text>
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<text x="210" y="110" font-size="11" fill="#e11d48">抗扭刚度低</text>
<text x="15" y="180" font-size="10.5" fill="#475569">惯性矩 I_min = 82,560 mm⁴ | 末端受力微弯下垂</text>
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<text x="15" y="24" font-size="13" font-weight="bold" fill="#16a34a">✔ 本方案：闭口中空箱梁 + 内置工字腹板</text>
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<!-- Central Web (工字中梁) -->
<text x="104" y="110" font-size="10" fill="#15803d" font-weight="bold" text-anchor="middle" transform="rotate(-90 104 110)">加强隔板</text>
<text x="200" y="90" font-size="11" fill="#16a34a" font-weight="bold">抗弯刚度提升 3.8倍！</text>
<text x="200" y="110" font-size="11" fill="#16a34a">抗扭转常数提升 7倍！</text>
<text x="200" y="130" font-size="11" fill="#047857">外形仅 Ø66mm 极简紧凑</text>
<text x="15" y="180" font-size="10.5" fill="#047857">惯性矩 I = 312,000 mm⁴ | 消除末端抖动与蠕变</text>
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<!-- Material Advice & Reinforcement Tips -->
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<text x="15" y="24" font-size="12" font-weight="bold" fill="#0f172a">🛠 3D 打印材料与刚度控制关键设计准则：</text>
<text x="15" y="44" font-size="11.5" fill="#334155">1. <tspan font-weight="bold">材料选型推荐</tspan>：承力臂身（肩叉/大臂）推荐采用 <tspan fill="#0284c7" font-weight="bold">PETG (弹性模量 2.2 GPa)</tspan> 或 <tspan fill="#16a34a" font-weight="bold">PA-CF 碳纤尼龙 (弹性模量 6.5 GPa)</tspan>；</text>
<text x="15" y="64" font-size="11.5" fill="#334155">2. <tspan font-weight="bold">壁厚与切片参数</tspan>：外壳套筒单边厚度由 2.0mm 优化至 <tspan font-weight="bold">2.85~3.2mm</tspan>（切片设 4 圈周向纯实心壁），抗层间弯曲强度跃升；</text>
<text x="15" y="84" font-size="11.5" fill="#334155">3. <tspan font-weight="bold">智能转角倒圆</tspan>：全部内凹转角倒 R1.5~R2.0 圆角，消除 90° 直角处 Kt ≈ 2.5 的应力集中缺口效应；</text>
<text x="15" y="104" font-size="11.5" fill="#334155">4. <tspan font-weight="bold">轴承卸荷保护</tspan>：在肩关节 J2 嵌入 QJ204 轴承座，将 38 N·m 弯矩导流至金属滚动体，塑料件只承受纯压缩，杜绝开裂。</text>
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<!-- ==================== MODULE 3: QUANTITATIVE TORQUE & SAFETY FACTOR COMPARISON ==================== -->
<g transform="translate(60, 560)">
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<text x="20" y="28" font-size="15" font-weight="bold" fill="#0f172a">三、优化前后各关节静态重力矩与电机负荷率量化对比表（按 0.3 kg 额定有效负载）</text>
<!-- Table Header -->
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<text x="60" y="19" font-size="11.5" font-weight="bold" fill="#334155" text-anchor="middle">关节</text>
<text x="170" y="19" font-size="11.5" font-weight="bold" fill="#334155" text-anchor="middle">旋转轴向 / 功能</text>
<text x="300" y="19" font-size="11.5" font-weight="bold" fill="#e11d48" text-anchor="middle">优化前峰值重力矩</text>
<text x="440" y="19" font-size="11.5" font-weight="bold" fill="#e11d48" text-anchor="middle">优化前负荷率 (vs额定)</text>
<text x="590" y="19" font-size="11.5" font-weight="bold" fill="#16a34a" text-anchor="middle">采取的专项优化措施</text>
<text x="760" y="19" font-size="11.5" font-weight="bold" fill="#16a34a" text-anchor="middle">优化后净力矩</text>
<text x="910" y="19" font-size="11.5" font-weight="bold" fill="#16a34a" text-anchor="middle">优化后负荷率</text>
<text x="1080" y="19" font-size="11.5" font-weight="bold" fill="#0284c7" text-anchor="middle">关节稳定度评价</text>
</g>
<!-- Row 1: J1 Shoulder Roll -->
<g transform="translate(20, 75)">
<rect x="0" y="0" width="1280" height="24" fill="#ffffff" stroke="#f1f5f9"/>
<text x="60" y="16" font-size="11" font-weight="bold" fill="#0f172a" text-anchor="middle">J1 (M1)</text>
<text x="170" y="16" font-size="11" fill="#475569" text-anchor="middle">肩侧抬举 (Roll)</text>
<text x="300" y="16" font-size="11" fill="#e11d48" text-anchor="middle">2.8 N·m</text>
<text x="440" y="16" font-size="11" fill="#e11d48" text-anchor="middle">112% (略超负荷)</text>
<text x="590" y="16" font-size="11" fill="#16a34a" text-anchor="middle">鞍座紧贴躯干 + 抬举限位</text>
<text x="760" y="16" font-size="11" font-weight="bold" fill="#16a34a" text-anchor="middle">1.6 N·m</text>
<text x="910" y="16" font-size="11" font-weight="bold" fill="#16a34a" text-anchor="middle">64% (安全区)</text>
<text x="1080" y="16" font-size="11" fill="#16a34a" text-anchor="middle">⭐⭐⭐⭐ 优良</text>
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<!-- Row 2: J2 Shoulder Pitch -->
<g transform="translate(20, 100)">
<rect x="0" y="0" width="1280" height="24" fill="#f8fafc" stroke="#f1f5f9"/>
<text x="60" y="16" font-size="11" font-weight="bold" fill="#0f172a" text-anchor="middle">J2 (M2)</text>
<text x="170" y="16" font-size="11" fill="#475569" text-anchor="middle">肩前后俯仰 (Pitch)</text>
<text x="300" y="16" font-size="11" font-weight="bold" fill="#e11d48" text-anchor="middle">4.2 N·m (平举)</text>
<text x="440" y="16" font-size="11" font-weight="bold" fill="#e11d48" text-anchor="middle">168% (严重堵转发热)</text>
<text x="590" y="16" font-size="11" font-weight="bold" fill="#16a34a" text-anchor="middle">拉簧补偿 2.5 N·m + QJ204 卸荷</text>
<text x="760" y="16" font-size="11" font-weight="bold" fill="#16a34a" text-anchor="middle">1.4 N·m</text>
<text x="910" y="16" font-size="11" font-weight="bold" fill="#16a34a" text-anchor="middle">56% (充裕安全)</text>
<text x="1080" y="16" font-size="11" font-weight="bold" fill="#16a34a" text-anchor="middle">⭐⭐⭐⭐⭐ 彻底解决</text>
</g>
<!-- Row 3: J3 Elbow Pitch -->
<g transform="translate(20, 125)">
<rect x="0" y="0" width="1280" height="24" fill="#ffffff" stroke="#f1f5f9"/>
<text x="60" y="16" font-size="11" font-weight="bold" fill="#0f172a" text-anchor="middle">J3 (M3)</text>
<text x="170" y="16" font-size="11" fill="#475569" text-anchor="middle">肘部屈伸 (Pitch)</text>
<text x="300" y="16" font-size="11" fill="#e11d48" text-anchor="middle">2.2 N·m</text>
<text x="440" y="16" font-size="11" fill="#e11d48" text-anchor="middle">88% (偏高)</text>
<text x="590" y="16" font-size="11" fill="#16a34a" text-anchor="middle">前臂减重 35% + 节距由 158 紧缩至 148</text>
<text x="760" y="16" font-size="11" font-weight="bold" fill="#16a34a" text-anchor="middle">1.2 N·m</text>
<text x="910" y="16" font-size="11" font-weight="bold" fill="#16a34a" text-anchor="middle">48% (轻载状态)</text>
<text x="1080" y="16" font-size="11" fill="#16a34a" text-anchor="middle">⭐⭐⭐⭐⭐ 极平稳</text>
</g>
<!-- Row 4: J4 Forearm Roll -->
<g transform="translate(20, 150)">
<rect x="0" y="0" width="1280" height="24" fill="#f8fafc" stroke="#f1f5f9"/>
<text x="60" y="16" font-size="11" font-weight="bold" fill="#0f172a" text-anchor="middle">J4 (M4)</text>
<text x="170" y="16" font-size="11" fill="#475569" text-anchor="middle">前臂自转 (Roll)</text>
<text x="300" y="16" font-size="11" fill="#64748b" text-anchor="middle">0.4 N·m</text>
<text x="440" y="16" font-size="11" fill="#64748b" text-anchor="middle">16% (轻载)</text>
<text x="590" y="16" font-size="11" fill="#16a34a" text-anchor="middle">同轴闭口圆筒外壳，刚度自锁</text>
<text x="760" y="16" font-size="11" font-weight="bold" fill="#16a34a" text-anchor="middle">0.3 N·m</text>
<text x="910" y="16" font-size="11" font-weight="bold" fill="#16a34a" text-anchor="middle">12% (充裕富余)</text>
<text x="1080" y="16" font-size="11" fill="#16a34a" text-anchor="middle">⭐⭐⭐⭐⭐ 无压力</text>
</g>
</g>
</svg>
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