{ "schema_version": 1, "experiment_id": "course-01/pendulum", "review_date": "2026-10-16", "access_channel": "机构学术数据库", "verification_method": "下载原文,提取文本,逐页渲染核对公式和页码;关键数值另行复算。", "references": [ { "id": "JuZhang2007Pendulum", "title": "基于MATLAB的单摆周期近似解的比较", "authors": [ "鞠衍清", "张风雷" ], "journal": "大学物理", "year": 2007, "volume": "26", "issue": "3", "pages": "6-9", "doi": "10.16854/j.cnki.1000-0712.2007.03.002", "url": "https://doi.org/10.16854/j.cnki.1000-0712.2007.03.002", "source_pdf": { "sha256": "29605a561b2d9b6da8a2ec2f7c7282019587e7f5b4da4d6c528165819a6fee02", "pages": 4, "bytes": 238940 }, "locators": [ { "printed_pages": "6", "pdf_pages": [ 1 ], "location": "左栏首个未编号公式", "role": "无阻尼有限摆角的周期积分及小角度周期定义" }, { "printed_pages": "6-7", "pdf_pages": [ 1, 2 ], "location": "第1节与第2.1节", "role": "0.5度至90度角度网格和逐点差、平方误差和比较" }, { "printed_pages": "8", "pdf_pages": [ 3 ], "location": "表1", "role": "所列近似公式在文章网格上的比较结果" } ], "application": "采用周期积分作为模型依据,并用独立积分及ODE生成验证参考。", "scope": "理想无阻尼周期;文章数值扫描为0.5度至90度。", "review_findings": [ "p.7部分印出参考值与同一椭圆积分独立计算有约1e-6至1e-5差异。", "其最小二乘偏差代码计算固定近似曲线的平方误差和。" ], "review_status": "full_text_reviewed" }, { "id": "ChaiEtAl2020Pendulum", "title": "大摆角单摆“周期”变化的解析解及其实验应用", "authors": [ "柴聪聪", "凤飞龙", "王公正", "卫芬芬" ], "journal": "物理实验", "year": 2020, "volume": "40", "issue": "3", "pages": "48-50", "doi": "10.19655/j.cnki.1005-4642.2020.03.010", "url": "https://doi.org/10.19655/j.cnki.1005-4642.2020.03.010", "source_pdf": { "sha256": "49498dd9eee84efd4fa06f664ae52c09461caa01dd1eb2f6ea127b4090fd327c", "pages": 3, "bytes": 430974 }, "locators": [ { "printed_pages": "48", "pdf_pages": [ 1 ], "location": "式(1)、式(2)", "role": "含线性阻尼的非线性运动方程;首版取阻尼为零" }, { "printed_pages": "48-49", "pdf_pages": [ 1, 2 ], "location": "式(6)、式(7)及累计时间定义", "role": "区分累计时间、平均周期与相邻周期" }, { "printed_pages": "50", "pdf_pages": [ 3 ], "location": "式(10)后段落", "role": "累计计时方式与系统修正的条件说明" } ], "application": "用式(1)、式(2)建立首版无阻尼ODE,按周期定义设计后续阻尼扩展。", "scope": "原解析近似采用线性弱阻尼及正弦五阶截断;首版采用完整正弦项并设置beta=0。", "review_findings": [ "式(5)指数符号与后文不一致,式(9)印式与表值不合。", "累计时间与平均周期按定义区分;本版依据运动方程直接积分。" ], "review_status": "full_text_reviewed" }, { "id": "QianEtAl2009Uncertainty", "title": "不确定度理论在单摆实验教学中的应用", "authors": [ "钱钧", "张春玲", "王槿" ], "journal": "大学物理实验", "year": 2009, "volume": "22", "issue": "3", "pages": "78-81", "doi": "10.14139/j.cnki.cn22-1228.2009.03.013", "url": "https://doi.org/10.14139/j.cnki.cn22-1228.2009.03.013", "source_pdf": { "sha256": "375808002a4ce0b2242798484491c59df01ead297afa7745ef7c359bf2d5cefb", "pages": 4, "bytes": 216839 }, "locators": [ { "printed_pages": "78", "pdf_pages": [ 1 ], "location": "第1节", "role": "A类、B类不确定度评定方式" }, { "printed_pages": "79", "pdf_pages": [ 2 ], "location": "式(3)、式(7)、式(10)", "role": "测量关系传播、累计计时传播、重复均值A类标准不确定度" }, { "printed_pages": "80", "pdf_pages": [ 3 ], "location": "第3节", "role": "给定仪器与目标不确定度下设计计时周期数" } ], "application": "解释重复性分量和多周期计时的条件;仪器分量按本项目实际来源确定。", "scope": "小角度直接测g预算;50周期为其特定目标和仪器假设的算例。", "review_findings": [ "该文长度量到球底;本项目量到球顶,沿本项目来源采用加半径。", "均匀分布除数和末尾相对不确定度印值经算术核对后按定义使用。" ], "review_status": "full_text_reviewed" }, { "id": "WangEtAl2026JupyterPendulum", "title": "Jupyter Notebook在单摆测重力加速度实验中的应用", "authors": [ "王震委", "张磊", "王美雅" ], "journal": "湖北师范大学学报(自然科学版)", "year": 2026, "volume": "46", "issue": "2", "pages": "25-30", "doi": "10.3969/j.issn.2096-3149.2026.02.004", "url": "https://doi.org/10.3969/j.issn.2096-3149.2026.02.004", "source_pdf": { "sha256": "427862f5fff492d820e1c00e67430b31459b1bbe3c767e2440b4d2d701c3b559", "pages": 6, "bytes": 282412 }, "locators": [ { "printed_pages": "27", "pdf_pages": [ 3 ], "location": "第2.2节式(4)、式(7)至式(11)", "role": "含截距OLS、相关系数和回归标准误" }, { "printed_pages": "28-29", "pdf_pages": [ 4, 5 ], "location": "第2.4节、图3、表2", "role": "SciPy拟合及文字、代码、图形结合的计算实例" }, { "printed_pages": "29-30", "pdf_pages": [ 5, 6 ], "location": "第3节", "role": "调参、可视化观察与任务组织的教学设计参考" } ], "application": "采用含截距拟合及可执行说明的组织思路;学习效果另行评价。", "scope": "八组30周期的独立文献实例与教学讨论;与项目观测数据分别保存。", "review_findings": [ "式(4)前周期平方关系缺少摆长,公开公式保留完整因子。", "文章未给出受控教学效果评价;软件对照仅支持该计算实例的一致性。" ], "review_status": "full_text_reviewed" } ] }