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Ahirwal\u5411\u6211\u4ecb\u7ecd\u4ed6\u7684\u5de5\u4f5c\u3002\u5173\u6ce8LAOS\u7814\u7a76\u7684\u8bdd\u5e94\u8be5\u4f1a\u77e5\u9053medium amplitude oscillatory shear\uff08MAOS\uff09\u548cQ\u53c2\u6570\uff08Macromolecules, 2009, 42, 411-422\uff09\u3002MAOS\u7684Q\u53c2\u6570\u662f\u57fa\u4e8eI3\/1 ~ \u03b30m\u8fd9\u4e00\u73b0\u8c61\u800c\u63d0\u51fa\u7684\u3002\u5bf9\u805a\u5408\u7269\u7194\u4f53\u7684\u5b9e\u9a8c\u53d1\u73b0\u5bf9\u4e8e\u7ebf\u578b\u805a\u5408\u7269m = 2\uff0c\u5bf9\u652f\u5316\u805a\u5408\u7269m < 2\u3002\u6700\u8fd1Wagner (J. 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Chem. 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Technologies\u3002\u62a5\u544a\u7684\u4e3b\u8981\u5185\u5bb9\u653e\u5728\u5fae\u7c73\u7ea7\u7684\u5149\u5b66\u5143\u4ef6\u4e0a\u3002\u5bf9\u8fd9\u79cd\u6750\u6599\u7684\u8981\u6c42\u9996\u5148\u662f\u9ad8\u900f\u5149\u7387\u548c\u9ad8\u6298\u5c04\u7387\u3002\u9ad8\u900f\u5149\u7387\u7684\u805a\u5408\u7269\u6709\u5f88\u591a\uff08\u4f8b\u5982PMMA\u7b49\uff09\uff0c\u4f46\u4e3a\u4e86\u63d0\u9ad8\u6298\u5c04\u7387\uff0c\u5c31\u8981\u5f80\u805a\u5408\u7269\u91cc\u6dfb\u52a0\u5176\u4ed6\u6210\u4efd\uff0c\u5f80\u5f80\u5c31\u8981\u964d\u4f4e\u900f\u5149\u7387\u3002\u63d0\u9ad8\u6298\u5c04\u7387\u53ef\u4ee5\u901a\u8fc7\u6dfb\u52a0\u65e0\u673a\u586b\u6599\u6216\u8005\u6709\u673a\u63ba\u6742\u3002\u65e0\u673a\u586b\u6599\u4ea7\u751f\u7684\u95ee\u9898\u5c31\u662f\u6563\u5c04\u3001\u5206\u6563\u6027\u3001\u6d53\u5ea6\u548c\u8868\u9762\u6027\u8d28\u7b49\u7b49\u90fd\u4f1a\u5f71\u54cd\u6750\u6599\u7684\u900f\u5149\u7387\u3002\u6709\u673a\u63ba\u6742\u867d\u7136\u6ca1\u6709\u6563\u5c04\u7684\u95ee\u9898\uff0c\u4f46\u6709\u5f88\u591a\u5206\u5b50\u672c\u8eab\u53c8\u6709\u989c\u8272\uff0c\u800c\u4e14\u63ba\u4e86\u6709\u673a\u5c0f\u5206\u5b50\u5bf9\u805a\u5408\u7269\u6709\u589e\u5851\u4f5c\u7528\uff0c\u964d\u4f4e\u4e86\u6750\u6599\u7684\u529b\u5b66\u7a33\u5b9a\u6027\uff08\u4f8b\u5982\u8010\u9ad8\u6e29\u6027\u8d28\uff09\u3002\u4f46\u8fd9\u4e9b\u90fd\u7ec8\u5f52\u53ea\u662f\u8ba8\u8bba\uff0cProf. Hanemann\u8fd8\u662f\u6210\u529f\u5730\u505a\u51fa\u4e86\u4e00\u4e9b\u6750\u6599\u3002\u53e6\u5916\uff0cProf. Hanemann\u8fd8\u5728\u7814\u7a76\u9676\u74f7\u7684\u5fae\u91cf\u6ce8\u5851\u6280\u672f\uff08\u901a\u8fc7sol-gel\u65b9\u6cd5\uff09\u3002\u8fd9\u4e2a\u6280\u672f\u53ef\u4ee5\u7528\u4e8e\u505a\u975e\u5e38\u7cbe\u7ec6\u7684\u5143\u4ef6\u3002\u4f46\u662f\u5230\u4e86\u5fae\u91cf\u6210\u5f62\u7684\u5c3a\u5ea6\uff0c\u5404\u4e2a\u73af\u8282\u90fd\u6709\u96be\u5ea6\u3002\u4f8b\u5982\u8d77\u59cb\u7684feedstock\u9700\u8981\u4f18\u5316\uff0c\u6d41\u9053\u9700\u8981\u4f18\u5316\u7b49\u7b49\u3002 \u8bb2\u5ea7\u5927\u6982\u82b1\u4e86\u4e00\u4e2a\u5c0f\u65f6\uff0c\u5b8c\u4e86\u4e4b\u540e\u6709Nico\u5e26Hanemann\u6559\u6388\u548c\u4ed6\u7684\u5b66\u751f\u53c2\u89c2\u5b9e\u9a8c\u5ba4\uff0c\u7136\u540e\u53c8\u5230\u4e00\u4e2a\u623f\u95f4\u91cc\u559d\u4e0b\u5348\u8336\u7ee7\u7eed\u95f2\u804a\uff0c\u5404\u81ea\u4ecb\u7ecd\u81ea\u5df1\u7684\u5de5\u4f5c\u5185\u5bb9\uff0c\u5bfb\u627e\u5408\u4f5c\u3002Hanemann\u6709\u4e9b\u5b66\u751f\u662f\u8981\u7814\u7a76feedstock\u7684\u6d41\u4f53\u529b\u5b66\u6027\u8d28\u7684\uff0c\u6070\u597dWhilhelm\u7684\u5b66\u751fRoland\u5c31\u662f\u4e13\u95e8\u6363\u9f13\u6d41\u52a8\u4e0d\u7a33\u5b9a\u6027\u7684\uff0c\u4e8e\u662f\u8fd8\u786e\u5b9e\u6709\u5408\u4f5c\u7684\u7a7a\u95f4\u3002 Fourier\u53d8\u6362 \u56de\u5230\u529e\u516c\u5ba4\u5df2\u7ecf\u662f\u4e0b\u5348\u4e09\u70b9\u591a\u4e86\u3002\u6211\u53c8\u8bf7\u6559Kathrin\u5173\u4e8eLAOS\u65f6\u95f4\u626b\u63cf\u7684\u60f3\u6cd5\u3002\u7531\u4e8e\u6211\u51c6\u5907\u5728\u4e00\u4e2a\u957f\u65f6\u95f4\u4fe1\u53f7\u4e2d\u9010\u6bb5\u622a\u53d6\u90e8\u5206\u4fe1\u53f7\u8fdb\u884c\u5206\u6790\u3002\u56e0\u6b64\u622a\u53d6\u7684\u65f6\u95f4\u7a97\u53e3\u7684\u5927\u5c0f\u662f\u53d7\u9650\u7684\u3002\u5982\u679c\u5728\u6709\u9650\u7684\u65f6\u95f4\u7a97\u53e3\u0394t\u4e2d\u6709N\u4e2a\u6570\u636e\uff08oversampling\u4ee5\u540e\uff09\uff0c\u90a3\u4e48Fourier\u53d8\u6362\u4e4b\u540e\u7684\u9891\u7387\u5206\u8fa8\u7387\u5c31\u662f\u0394f = fs \/ N\uff0cfs\u662fsampling frequency\u3002\u8fdb\u4e00\u6b65\u5206\u6790\u53d1\u73b0\uff0c\u0394f = f0 \/ Ncycle\uff0cf0\u662f\u65f6\u57df\u4fe1\u53f7\u7684\u9891\u7387\uff0cNcycle\u662f\u65f6\u57df\u4fe1\u53f7\u7684\u5468\u671f\u6570\uff0c\u5fc5\u987b\u662f\u975e\u96f6\u6b63\u6574\u6570\u3002\u5728\u7ed9\u5b9af0\u7684\u6761\u4ef6\u4e0b\uff0c\u662f\u4e0d\u80fd\u65e2\u8ba9Ncycle\u5c3d\u53ef\u80fd\u5c0f\u53c8\u8ba9\u0394f\u5c3d\u53ef\u80fd\u5c0f\u7684\u3002\u5982\u679c\u60c5\u613fNcycle\u5c3d\u53ef\u80fd\u5c0f\uff08Ncycle = 1\uff09\u90a3\u4e48\u0394f = f0\u3002\u4e5f\u5c31\u662f\u8bf4Fourier\u53d8\u6362\u4e4b\u540e\u7684\u66f2\u7ebf\u5c31\u603b\u662f\u4ecef = 0\u4e00\u4e0b\u8df3\u5230f = f0\u3002\u5e94\u8be5\u662f\u6700\u5dee\u7684\u60c5\u51b5\u3002\u4ee5\u4e0b\u662ff0 = 1Hz\uff0cNcycle = 1\u7684\u60c5\u51b5\u3002 \u7531\u4e8e\u6211\u662f\u8981\u53d6\u7279\u5b9a\u9891\u7387\u7684\u5e45\u503c\uff08f0\u30013f0\u30015f0\u2026\u2026\uff09\uff0c\u6211\u62c5\u5fc3\u5f53\u0394f\u5f88\u5927\u7684\u65f6\u5019\uff0c\u5728\u6240\u9700\u7684\u9891\u7387\u4f4d\u7f6e\u4f1a\u6ca1\u6709\u6570\u636e\u70b9\u3002\u4f46\u6839\u636e\u4e0a\u9762\u7684\u5206\u6790\u53ea\u8981Ncycle\u662f\u975e\u96f6\u6b63\u6574\u6570\u7684\u8bdd\uff0c\u8fd9\u4e2a\u60c5\u51b5\u662f\u4e0d\u4f1a\u51fa\u73b0\u7684\u3002\u6211\u53c8\u62c5\u5fc3\u5bf9\u4e8e\u540c\u6837\u7684\u65f6\u57df\u4fe1\u53f7\uff0cFourier\u53d8\u6362\u7684\u0394f\u4e0d\u540c\uff0c\u5f97\u5230\u7684\u5e45\u503c\u4f1a\u4e0d\u540c\uff0c\u81f3\u5c11\u5f53\u0394f\u7279\u522b\u4f4e\u7684\u65f6\u5019\u3002Kathrin\u5012\u662f\u7814\u7a76\u8fc7\u8fd9\u4e2a\u95ee\u9898\uff0c\u5979\u7ed9\u6211\u770b\u4e86\u4e00\u4e2a\u7ed3\u679c\uff0c\u5dee\u522b\u5f88\u5c0f\u3002\u56e0\u6b64\u4e5f\u5c31\u4e0d\u7528\u62c5\u5fc3\u8fd9\u4e2a\u95ee\u9898\u3002 \u9891\u7387\u5206\u8fa8\u7387\u7684\u95ee\u9898\u5206\u6790\u5b8c\u4e4b\u540e\uff0c\u4e0b\u4e00\u4e2a\u95ee\u9898\u5c31\u662f\u5b9e\u9645\u4fe1\u53f7\u7684\u57fa\u9891\u5f80\u5f80\u5e76\u4e0d\u7cbe\u786e\u5730\u7b49\u4e8e\u5b9e\u9a8c\u8f93\u5165\u7684\u9891\u7387\u3002\u4f8b\u5982\u6211\u9700\u8981\u9a6c\u8fbe\u8fdb\u884c\u9891\u7387\u4e3a1Hz\u7684\u632f\u8361\uff0c\u4f46\u5b9e\u9645\u9a6c\u8fbe\u4fe1\u53f7\u53d6\u51fa\u6765\u57fa\u9891\u5f88\u53ef\u80fd\u662f0.99Hz\u3002\u8fd9\u4e00\u70b9\u70b9\u5dee\u522b\u57283f0\u30015f0\u7b49\u500d\u9891\u5904\u4f1a\u6210\u500d\u589e\u5927\u3002\u5982\u679c\u6211\u5728\u505aFourier\u53d8\u6362\u7684\u65f6\u5019\u4ee5\u5b9e\u9a8c\u8f93\u5165\u7684\uff08\u81ea\u4ee5\u4e3a\u662f\u7684\uff09\u9891\u7387\u4e3a\u57fa\u9891\u6765\u53d6\u8c10\u6ce2\u5e45\u503c\uff0c\u5c31\u6709\u53ef\u80fd\u4f1a\u51fa\u9519\u3002\u56e0\u6b64\u6709\u5fc5\u8981\u5148\u786e\u5b9a\u4fe1\u53f7\u7684\u771f\u5b9e\u57fa\u9891\uff0c\u518d\u8fdb\u884cFourier\u53d8\u6362\u3002\u4e8e\u662f\u6211\u8bf7\u6559\u786e\u5b9a\u4fe1\u53f7\u7684\u771f\u5b9e\u57fa\u9891\u6709\u6ca1\u6709\u6bd4\u8f83\u201c\u4e13\u4e1a\u201d\u4e00\u70b9\u7684\u65b9\u6cd5\u3002\u8ba8\u8bba\u7684\u7ed3\u679c\u662f\u8c8c\u4f3c\u6ca1\u6709\uff0c\u65e0\u975e\u5c31\u662f\u9009\u62e9\u6070\u5f53\u7684\u7a97\u53e3\u8fdb\u884cfind 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